Question

Choose the correct option.
OPTIONS
The LCM of three different numbers is 256. Which of the given numbers can never be
their HCF?
4
16
24
32
2​

Answer 1

the of 256 can never be a number is 32

Answer 2

Given:

LCM of three numbers = 256

To find:

Which of the following can never be the HCF ?

• 4
• 16
• 24
• 32
• 2

Solution:

To find the answer of this question, we need to find the prime factors of 256.

Therefore,

prime factors of 256 = 2*2*2*2*2*2*2*2

2, 4, 16, 32 are the factors of 256

24 is not the factor of 256.

thus, 24 can never be the HCF of the three no.s.

Hence 24 can never be the HCF of the three no.s.