Question

Can there be two numbers with HCF 12 and LCM 64. Give reasons in support of your answer.

Answer 1

Answer:

No, since 12 does not divide 64 exactly.

PLEASE MARK ME BRAINLIEST

Answer 2

There can't be two numbers with HCF 12 and LCM 64'

Given:

HCF = 12

LCM = 64

To Find:

Can there be two numbers with HCF 12 and LCM 64?

Solution:

Let the two numbers be a and b

a×b = HCF×LCM

      = 12×64

      = 768

768 = 2×2×2×2×2×2×2×2×3

12 = 2×2×3

64 = 2×2×2×2×2×2

From the above data, 64 is not divisible by 12 (i.e LCM is not divisible by HCF)

Therefore, There can't be two numbers with HCF 12 and LCM 64.

#SPJ2