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Derivative Financial Instruments (Details 2) (USD $)
In Thousands, unless otherwise specified
 3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income $ 54,684us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet $ (29)us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet  
Net investment income      
Derivatives not designated as hedging instruments      
Change in fair value of GLWB 2,770us-gaap_EmbeddedDerivativeGainLossOnEmbeddedDerivativeNet
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Policyholders' Funds      
Derivatives not designated as hedging instruments      
Embedded derivatives - GLWB 9,177us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability
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= gac_PolicyholdersFundsMember		   6,407us-gaap_EmbeddedDerivativeFairValueOfEmbeddedDerivativeLiability
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Futures on equity indices | Net investment income      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income 147us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
/ us-gaap_DerivativeInstrumentRiskAxis
= gac_FuturesOnEquityIndicesMember
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Futures on equity indices | Realized investment gains (losses)      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income (723)us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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Interest rate swaps | Net investment income      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income 2,822us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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Interest rate futures | Net investment income      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income (151)us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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Interest rate futures | Realized investment gains (losses)      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income 135us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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Interest rate swaptions | Net investment income      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income 910us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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Interest rate swaptions | Realized investment gains (losses)      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income (987)us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_InterestRateSwaptionMember
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= us-gaap_InterestRateSwaptionMember
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= gac_RealizedInvestmentGainsLossesMember		  
Other forward contracts | Net investment income      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income 16,825us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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Other forward contracts | Realized investment gains (losses)      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income (9,340)us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
/ us-gaap_DerivativeInstrumentRiskAxis
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/ us-gaap_DerivativeInstrumentRiskAxis
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= gac_RealizedInvestmentGainsLossesMember		  
Cross-currency swaps | Net investment income      
Derivatives not designated as hedging instruments      
Gain (loss) on derivatives recognized in net income 45,046us-gaap_DerivativeInstrumentsNotDesignatedAsHedgingInstrumentsGainLossNet
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= us-gaap_InvestmentIncomeMember		 [1]  
Cash flow hedges:      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) recognized in OCI on derivatives (Effective portion) 17,155us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember		 884us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
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= us-gaap_CashFlowHedgingMember		  
Gain (loss) reclassified from OCI into net income (Effective portion) 2,258us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember		 580us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
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= us-gaap_CashFlowHedgingMember		  
Cash flow hedges: | Interest rate swaps      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) recognized in OCI on derivatives (Effective portion) 3,141us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentRiskAxis
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= us-gaap_CashFlowHedgingMember		 1,244us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
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/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember		  
Cash flow hedges: | Interest rate swaps | Net investment income      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) reclassified from OCI into net income (Effective portion) 1,856us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
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= us-gaap_InvestmentIncomeMember		 [1] 563us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
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= us-gaap_CashFlowHedgingMember
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_InvestmentIncomeMember		 [1]  
Cash flow hedges: | Interest rate futures      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) recognized in OCI on derivatives (Effective portion) 0us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentRiskAxis
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= gac_InterestRateFutureMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember		  
Cash flow hedges: | Interest rate futures | Net investment income      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) reclassified from OCI into net income (Effective portion) (21)us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentRiskAxis
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= us-gaap_CashFlowHedgingMember
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= us-gaap_InvestmentIncomeMember		 [1]  
Cash flow hedges: | Cross-currency swaps      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) recognized in OCI on derivatives (Effective portion) 14,014us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
/ us-gaap_DerivativeInstrumentRiskAxis
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/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember		 (360)us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
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= us-gaap_CurrencySwapMember
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_CashFlowHedgingMember		  
Cash flow hedges: | Cross-currency swaps | Net investment income      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) reclassified from OCI into net income (Effective portion) 423us-gaap_DerivativeInstrumentsGainLossReclassifiedFromAccumulatedOCIIntoIncomeEffectivePortionNet
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= us-gaap_CashFlowHedgingMember
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_InvestmentIncomeMember		 [1]  
Fair value hedges:      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) on derivatives recognized in net income (808)us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_FairValueHedgingMember		 (1,067)us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1
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Gain (loss) on hedged assets recognized in net income 813us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1
/ us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis
= us-gaap_FairValueHedgingMember		 1,067us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1
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= us-gaap_FairValueHedgingMember		  
Fair value hedges: | Interest rate swaps | Net investment income      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) on derivatives recognized in net income (1,438)us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1
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= us-gaap_InvestmentIncomeMember		 [1] (1,067)us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1
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Gain (loss) on hedged assets recognized in net income 1,443us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1
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= us-gaap_InvestmentIncomeMember		 [1] 1,067us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1
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Fair value hedges: | Interest rate swaps | Realized investment gains (losses)      
Effect of derivative instruments in the condensed consolidated statement of income      
Gain (loss) on derivatives recognized in net income 630us-gaap_ChangeInUnrealizedGainLossOnFairValueHedgingInstruments1
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= gac_RealizedInvestmentGainsLossesMember		 [2]  
Gain (loss) on hedged assets recognized in net income $ (630)us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1
/ us-gaap_DerivativeInstrumentRiskAxis
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= us-gaap_FairValueHedgingMember
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= gac_RealizedInvestmentGainsLossesMember		 [2] $ 0us-gaap_ChangeInUnrealizedGainLossOnHedgedItemInFairValueHedge1
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[1] Net investment income.
[2] Represents realized gains (losses) on closed positions recorded in realized investment gains (losses), net.