If a,b,ca, b, ca,b,c are positive integers such that gcd(a,b)=1\text{gcd}(a, b) = 1gcd(a,b)=1, gcd(b,c)=1\text{gcd}(b, c) = 1gcd(b,c)=1, and gcd(a,c)=1\text{gcd}(a, c) = 1gcd(a,c)=1, what is gcd(abc,a+b+c)\text{gcd}(abc, a+b+c)gcd(abc,a+b+c)?
Always 1
Can be greater than 1
Equal to a+b+ca+b+ca+b+c
Equal to abcabcabc