Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

What is the $H . C . F$ of $1134, 1344$ and $1512$ ?

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

42

64

1344

1512

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

The given numbers are

1134, 1344

and

1512

.
We know that the HCF (Highest Common Factor) of two numbers is the highest number among all the common factors of the given numbers.
Therefore, the HCF of

1134, 1344

and 1512 can be found by factoring all three numbers, as shown below:

\Rightarrow

1134 = 2 \times 3 \times 3 \times 3 \times 3 \times 7

= 2^{1} \times 3^{4} \times 7^{1}

\Rightarrow 1344 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 7

= 2^{6} \times 3^{1} \times 7^{1}

\Rightarrow 1512 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 7

= 2^{3} \times 3^{3} \times 7^{1}

Now, common factors are

= 2 \times 3 \times 7

= 42

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

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!