Question 27
Let $a$, $b$, and $c$ be nonzero integers. Show that there exists an integer $k$ such that
$$
\gcd(a + kb, c) = \gcd(a, b, c).
$$
(Note: 'gcd' stands for 'greatest common divisor')
$$
\gcd(a + kb, c) = \gcd(a, b, c).
$$
(Note: 'gcd' stands for 'greatest common divisor')