Question

HCF of the numbers 120, 144 and 216 is __.

• A. $38$
• B. $24$
• C. $120$
• D. $144$

Answer 1

The correct option is B $24$

Given numbers are $120,144and216$.

To find out: HCF of the given numbers.

On factorising the given numbers, we get:
$120=2\times 2\times 2\times 3\times 5$
$144=2\times 2\times 2\times 2\times 3\times 3$
$216=2\times 2\times 2\times 3\times 3\times 3$

The common factors amongst the three numbers are:
$2\times 2\times 2\times 3=24.$

Hence, the HCF of $120,144and216$ is $24$.