Question

find the largest number which divides 630 and 940 remaining then leaving the remainder 6 and 4 respectively

Answer 1

$630 - 6 = 624 \\ 940 - 4 = 936$
$936 = 624 \times 1 + 312 \\ 624 = 312 \times 2 + 0$

HCF of these numbers is 312 ,so 312 is that number