Question

LCM of two number is 16 and their product is 64 find hcf​

Answer 1

Given:

• LCM = 16
• Product of 2 numbers = 64

To find:

1. HCF = ?

Method:

HCF × LCM = Product of 2 numbers

⇒ HCF × 16 = 64

⇒ HCF = 64 ÷ 16

⇒ HCF = 4

Additional information:

• HCF is the highest Common Factor of a set of given numbers. It can also be product of numbers having lowest exponent.
• LCM is the Lowest Common Factor of a set of given numbers. It can also be expressed as the product of numbers having highest exponent.
• The identity used above holds good only for the product of 2 numbers. It can not be used for the product of 3 numbers