Question

if gcd(a b)=1 then gcd(2a+b a+2b) is 1 or 3 can anyone help me with this question?

Answer 1

U know that gcd(a,b) is an integer combination of a and b

Answer 2

are u familiar with this law of gcd\[\gcd(m,n)=\gcd(m,mk+n)\]k is an arbitrary integer number?

Answer 3

same thought @estudier

Answer 4

2a + b +a +2b is 3(a+b)

Answer 5

does d = 3a + 3b imply that d = gcd(3a,3b)?