Number TheoryHardFactors & Multiples ShareFactors & Multiples · Hard problemWhich statement is true for ALL positive integers a,b,ca, b, ca,b,c?AIf gcd(a,b)=1\gcd(a, b) = 1gcd(a,b)=1 and gcd(b,c)=1\gcd(b, c) = 1gcd(b,c)=1, then gcd(a,c)=1\gcd(a, c) = 1gcd(a,c)=1Bgcd(a,b)=gcd(a,a+b)\gcd(a, b) = \gcd(a, a + b)gcd(a,b)=gcd(a,a+b)Cgcd(a2,b)=gcd(a,b)2\gcd(a^2, b) = \gcd(a, b)^2gcd(a2,b)=gcd(a,b)2Dgcd(a+b,c)=gcd(a,c)+gcd(b,c)\gcd(a + b, c) = \gcd(a, c) + \gcd(b, c)gcd(a+b,c)=gcd(a,c)+gcd(b,c)Check Show answer Walk through it step by step Practice more like this Review this concept