Question

29. If a and b are positive integers, then HCF (a,b) - LCM (a,b) /ab​

Answer 1

option: C (a×b)

hcf×lcf=product of the numbers

hcf(a, b) ×lcf(a,b) =ab

Let the two positive integers be a = 24 and b = 36.

∴ HCF (24/HCF (24,36) , 36/HCF (24,36)

⇒ HCF (24/12 , 36/12)

⇒ HCF (2, 3) = 1

IIIustration 2

Let the two positive integers be a = 13 and b = 17

∴ HCF (13 / HCF (13,17) , 17/HCF (13,17)

⇒ HCF (13/1 , 17/1) = 1

Answer 2

Answer:-

Correct option is C

a×b

There is an identity which holds for all integers:

LCM(a,b)×HCF(a,b)=ab

LCM of a and b will be AB