Question Number 124690 by mathocean1 last updated on 05/Dec/20
$${show}\:{that}\:\forall\:{a},{b}\in\mathbb{N}^{\ast} \:{if}\:\delta={GCD}\left({a};{b}\right)\: \\ $$$${then}\:\delta\mathbb{Z}=\left\{{au}+{bv};\:{u}\:{and}\:{v}\:\in\mathbb{Z}\right\} \\ $$