If the HCF of two numbers is one of the numbers, then their LCM is the other number.

(D) The HCF of an even and an odd number is even

The correct option is (C) 75.

LCM of two or more numbers is divisible by their HCF. True

LCM of two numbers is 28 and their HCF is 8. False

Let the two numbers be a and b.  Let the value of a be 161.  Given: HCF = 23 and LCM = 1449  We know, a × b = HCF × LCM  ⇒...

HCF of two numbers = 145  LCM of two numbers = 2175  Let one of the two numbers be 725 and other be x.  Using the formula, product of two numbers = HCF...

HCF of two numbers = 18  Product of two numbers = 12960  Let their LCM be x.  Using the formula, product of two numbers = HCF × LCM  we conclude that  12960 = 18 ×...

(d) 81  Let the two numbers be x and y.  It is given that: x = 54  HCF = 27  LCM = 162  We know,  x × y = HCF × LCM  ⇒ 54 × y =...

(c) 320  Let the two numbers be x and y.  It is given that:  x × y = 1600  HCF = 5  We know,  HCF × LCM = x × y  ⇒ 5 × LCM = 1600  ⇒...

Let the two numbers be x and y  It is given that:  x = 81  HCF = 27 and LCM = 162  We know, Product of two numbers = HCF × LCM  ⇒ x ×...