Let
,
,
,
,
,
,
then
Then the question becomes:
, which is obviously true.
EDIT: Then I recommend waiting for the more experienced forum members to answer.
i'm reading Introduction to Analytic Number Theory, Tom M. Apostol and i have a doubt about an exercise in chapter 1. Follow the exercise:
Prove the following multiplicative property of the gcd:
i already tried using Bezout identity and