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Minimum Guarantees - Assumptions and Methodologies Used to Determine GMDB (Details) (Guaranteed Minimum Death Benefit)
Dec. 31, 2014
Scenario
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]  
Data used (number of scenarios) 1,050gac_LongDurationContractsAssumptionsbyProductandGuaranteeNumberofInvestmentPerformanceScenarios
Discount rates 5.00%us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeDiscountRate
Regular Equity  
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]  
Mean investment performance 10.00%us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeEstimatedAverageInvestmentYield
/ invest_InvestmentAxis
= gac_RegularEquityMember
/ us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeGuaranteeTypeAxis
= us-gaap_GuaranteedMinimumDeathBenefitMember
Volatility 23.00%us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeVolatilityRate
/ invest_InvestmentAxis
= gac_RegularEquityMember
/ us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeGuaranteeTypeAxis
= us-gaap_GuaranteedMinimumDeathBenefitMember
Aggressive Equity  
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]  
Mean investment performance 12.00%us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeEstimatedAverageInvestmentYield
/ invest_InvestmentAxis
= gac_AggressiveEquityMember
/ us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeGuaranteeTypeAxis
= us-gaap_GuaranteedMinimumDeathBenefitMember
Volatility 33.00%us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeVolatilityRate
/ invest_InvestmentAxis
= gac_AggressiveEquityMember
/ us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeGuaranteeTypeAxis
= us-gaap_GuaranteedMinimumDeathBenefitMember
Fixed, Bond, Money Market  
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]  
Mean investment performance 3.00%us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeEstimatedAverageInvestmentYield
/ invest_InvestmentAxis
= gac_FixedBondMoneyMarketMember
/ us-gaap_LongDurationContractsAssumptionsByProductAndGuaranteeGuaranteeTypeAxis
= us-gaap_GuaranteedMinimumDeathBenefitMember