# Category:Integers Divided by GCD are Coprime

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This category contains pages concerning **Integers Divided by GCD are Coprime**:

Let $a, b \in \Z$ be integers which are not both zero.

Let $d$ be a common divisor of $a$ and $b$, that is:

- $\dfrac a d, \dfrac b d \in \Z$

Then:

- $\gcd \set {a, b} = d$

- $\gcd \set {\dfrac a d, \dfrac b d} = 1$

that is:

- $\dfrac a {\gcd \set {a, b} } \perp \dfrac b {\gcd \set {a, b} }$

where:

- $\gcd$ denotes greatest common divisor
- $\perp$ denotes coprimality.

## Pages in category "Integers Divided by GCD are Coprime"

The following 4 pages are in this category, out of 4 total.