If a, b, and c are positive integers such that gcd(a,b) = 168 and gcd(a,c) = 88, then what is the smallest possible value of gcd(b,c)?
Here is just one way:
a =1848, b = 168, c = 88
GCD(a, b) =GCD(1848 , 168) = 168
GCD(a, c) =GCD(1848, 88) = 88
GCD(b, c) =GCD(168, 88) = 8
