Question

What is the greatest number that exactly divides $105,1001$ and $2436$?

• A. $3$
• B. $7$
• C. $11$
• D. $21$

Answer 1

The correct option is B $7$

Required number $=$ H.C.F of $(105,1001$ and $2436)$

$105=3\times 5\times 7$

$1001=7\times 11\times 13$

$2436=2\times 2\times 3\times 7\times 29$
$\therefore$ H.C.F. of $(105,1001$ and $2436)=7$