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Loans and Allowance for Loan Losses - Summary of Loans Due after One Year (Details) (Commercial Financial, Agricultural And Construction [Member], USD $)
Mar. 31, 2015
Commercial Financial, Agricultural And Construction [Member]
  
Loans With Predetermined Rates $ 47,289,712us-gaap_LoansReceivableWithFixedRatesOfInterest1
/ us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis
= SGB_CommercialFinancialAgriculturalAndConstructionMember
Loans With Floating Rates 4,430,561us-gaap_LoansReceivableWithVariableRatesOfInterest1
/ us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis
= SGB_CommercialFinancialAgriculturalAndConstructionMember
Total $ 51,720,273SGB_LoansReceivableWithInterestTotal
/ us-gaap_FinancingReceivableRecordedInvestmentByClassOfFinancingReceivableAxis
= SGB_CommercialFinancialAgriculturalAndConstructionMember