Find the HCF and LCM of 144, 180 and 192 by prime factorization method

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

12 and 2880

32 and 1235

12 and 1267

68 and 3465

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Using the factor tree for the prime factorization of 144, 180 and 192, we have
Question Image

To find the HCF, we list the common prime factor and their smallest exponents in 144, 180 and 192 follows:
Common prime factor                          Least
Exponents
      2                                                        2
      3                                                        1

To find the LCM, we list all prime factors of 144, 180, 192 and their greatest
Prime factors of 144, 180 and 192
Greatest exponents
6                           2
2                           3
1                           5
Question Image

Hence, option 1 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th