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Consolidated Statements of Financial Condition (Parenthetical) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Class 0 Units [Member]    
Members' capital:    
Capital units, issued (in units) 390,307.769gaifb_CapitalUnitsIssued
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
456,544.588gaifb_CapitalUnitsIssued
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
Capital units, outstanding (in units) 390,307.769us-gaap_CapitalUnitsOutstanding
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
456,544.588us-gaap_CapitalUnitsOutstanding
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
Capital units, value (in dollars per unit) $ 149.37gaifb_CapitalUnitsStatedValue
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
$ 127.72gaifb_CapitalUnitsStatedValue
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassAMember
Class 2 Units [Member]    
Members' capital:    
Capital units, issued (in units) 178,245.791gaifb_CapitalUnitsIssued
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
186,461.512gaifb_CapitalUnitsIssued
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
Capital units, outstanding (in units) 178,245.791us-gaap_CapitalUnitsOutstanding
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
186,461.512us-gaap_CapitalUnitsOutstanding
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
Capital units, value (in dollars per unit) $ 113.58gaifb_CapitalUnitsStatedValue
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember
$ 98.41gaifb_CapitalUnitsStatedValue
/ us-gaap_CapitalUnitsByClassAxis
= us-gaap_CapitalUnitClassBMember