Question

if gcd(a,b)=gcd(a,c)=1 then gcd(a,bc)=​

Answer 1

Answer:

1

Explanation:

Prove: if gcd(a, b) = 1 and gcd(a, c) = 1 then gcd(a, bc) = 1. If gcd(a, b) = gcd(a, c) = 1 then there exist m, n such that am + bn = 1 and s, t such that as + ct = 1.