Question

HCF of $120,144$ and $216$ is:

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

Answer 1

Answer: (B)

$24$

The HCF of $120,144,216$ is

$120=2\times 2\times 2\times 3\times 5$

$144=2\times 2\times 2\times 2\times 3\times 3$

$216=2\times 2\times 2\times 3\times 3\times 3$

Since, the Common factors are $2\times 2\times 2\times 3=24$

Hence, the HCF of $120,144$ and $216$ is $24$.