Question Number 124692 by mathocean1 last updated on 05/Dec/20
$${show}\:{that}\:\forall\:{a},{b}\:\in\mathbb{N}^{\ast} , \\ $$$${GCD}\left(\mathrm{13}{a}+\mathrm{8}{b};\mathrm{5}{a}+\mathrm{3}{b}\right)={GCD}\left({a};{b}\right) \\ $$
show-that-a-b-N-GCD-13a-8b-5a-3b-GCD-a-b-