Question

Find the greatest number that will divide $152,245$ and $616$ leaving remainders $8,5$ and $4$ respectively.

• A. $6$
• B. $8$
• C. $12$
• D. $16$

Answer 1

Answer: (C)

$12$

Required number $=(152-8),(245-5),(616-4)$
$\therefore$ HCF of $144,240,612=12$
The greatest number that will divide $152,245$ and $616$ leaving remainders $8,5$ and $4$ respectively is $12$.