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Loans and Allowance for Loan Losses - Schedule of Troubled Debt Restructurings By Types of Concessions Made (Details) (USD $)
Mar. 31, 2015
Dec. 31, 2014
Accuring [Member]    
Forbearance of interest $ 0SGB_FinancingReceivableModificationsForbearanceOfInterest
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
$ 175,718SGB_FinancingReceivableModificationsForbearanceOfInterest
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
Payment modification 0SGB_FinancingReceivableModificationsPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
0SGB_FinancingReceivableModificationsPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
Rate reduction 4,971SGB_FinancingReceivableModificationsRateReduction
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
8,001SGB_FinancingReceivableModificationsRateReduction
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
Rate reduction, payment modification 0SGB_FinancingReceivableModificationsRateReductionPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
31,713SGB_FinancingReceivableModificationsRateReductionPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
Total 4,971SGB_FinancingReceivablesTroubledDebtRestructuringAsAccrualAndNonaccrual
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
215,432SGB_FinancingReceivablesTroubledDebtRestructuringAsAccrualAndNonaccrual
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_AccuringMember
Non-accuring [Member]    
Forbearance of interest 0SGB_FinancingReceivableModificationsForbearanceOfInterest
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
0SGB_FinancingReceivableModificationsForbearanceOfInterest
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
Payment modification 0SGB_FinancingReceivableModificationsPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
0SGB_FinancingReceivableModificationsPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
Rate reduction 0SGB_FinancingReceivableModificationsRateReduction
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
0SGB_FinancingReceivableModificationsRateReduction
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
Rate reduction, payment modification 0SGB_FinancingReceivableModificationsRateReductionPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
0SGB_FinancingReceivableModificationsRateReductionPaymentModification
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
Total $ 0SGB_FinancingReceivablesTroubledDebtRestructuringAsAccrualAndNonaccrual
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember
$ 0SGB_FinancingReceivablesTroubledDebtRestructuringAsAccrualAndNonaccrual
/ SGB_FinancialReceivablesTroubledDebtRestructuringByClassAxis
= SGB_NonaccuringMember