Question

Find the greatest number which divides $1750$ and $2000$ leaving $48$ and $2$ respectively as remainders.

Answer 1

This means, we have to find the HCF of $1750-48=1702$ and $2000-2=1998$
Factors of $1702=1,2,23,37,46,74,851,1702$

Factors of $1998=1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998$

Common factors are $=1,2,37,74$

=> HCF $=74$