Find the H.C.F of 24, 32, and 36.

The correct option is A

4

The largest or greatest factor common to any two or more given numbers is termed as H.C.F of the given numbers.

The given numbers can be factorised as follows:

$24=2\times 2\times 2\times 3$ = $2^3\times 3$

$32=2\times 2\times 2\times 2\times 2$ = $2^5$

$36=2\times 2\times 3\times 3$ = $2^2\times 3^2$

$\therefore H.C.F=2^2=4.$