Category:Definitions/Coprime Integers

This category contains definitions related to Coprime Integers.
Related results can be found in Category:Coprime Integers.

Let $a$ and $b$ be integers.

Let $\gcd \set {a, b}$ denote the greatest common divisor of $a$ and $b$.

Then $a$ and $b$ are coprime if and only if:

$\gcd \set {a, b}$ exists

and:

$\gcd \set {a, b} = 1$.