Question

Give the greatest no which divides 926 and 2313 by leaving remainder 2 and 3.
38 points question
Fast

Answer 1

42 is the greatest number which divides 926 and 2313 by leaving remainder 2 and 3

Answer 2

The greatest no which divides $926$ and $2313$ leaving remainders $2$ and $3$ respecitively is

$\gcd(926-2,~2313-3)\\~\\=\gcd(924,~2310)\\~\\=\boxed{462}$