Question

Which of the following cannot be the HCF of two numbers whose LCM is 120? a. 60. b.40 c. 80 d. 30

Answer 1

I think it's 80 as 80 don't have multiples as 120 but rest all no have 1st 20 as their factor

Answer 2

Answer: c) 80

Step-by-step explanation:

As we know HCF is highest common factor and LCM is least common multiple. Therefore two numbers whose LCM is 120 is divisible by HCF then the HCF should be a factor of LCM

i.e. HCF divides LCM

Therefore Given LCM = 120

Now, 80 is only the number which does not divides 120 completely

Hence, 80 can't be the HCF of two numbers whose LCM is 120