Question

a k is a natural number then gcd(ak, bk)=kd

Answer 1

I don't get it, are you supposed to prove something? :D

Answer 2

is it a true or false question?

Answer 3

we are suppose to prove it

Answer 4

Could you clarify?
I mean, the way you typed in the question was a bit unclear, maybe try putting it up this time exactly as you see it?

Answer 5

Suppose a and b are two integers that are not both zero and gcd(a,b)=d. Prove that if k is a natural number then gcd(ak, bk)=kd

Answer 6

use below :
gcd(m, n) = smallest positive number of the form "mx + ny"

Answer 7

there exists 2 integers x and y such that:

ax + by = d, then multiply both sides by k ....