Question

Find the hcf of 52 and 117 and express as 52x+117y

Answer 1

$117 = 52 \times 2 + 13 \\ 52 = 13 \times 4 + 0 \\ hcf \: is \: 13 \\ 13 = (1)117 - 2(52) \\ = ( - 2)52 + 1(117)$
$x = - 2 \\ y = 1$