Question

if the product of two positive integers is equal to the product of their HCF and LCM is true then the HCF (32,36)is.​

Answer 1

Answer:

HCF of 32 and 36 is 4

Step-by-step explanation:

it is true that the product of LCM & HCF is equal to the product of both numbers..

Answer 2

Given: The product of two positive integers is equal to the product of their HCF and LCM is true.

To find: HCF of 32 and 36

Solution: The formula is given in the question:

HCF × LCM = Product of the numbers

Here, the numbers are 32 and 36.

Product of the numbers

= 32 × 36

= 1152

For finding the Least Common Multiple (LCM), we list the multiples of these numbers.

Multiples of 32=32,64,96,128,160,192,224,256,288

Multiples lf of 36= 36,72,108,144,180,216,252,288

Clearly, 288 is the LCM of these numbers.

Therefore,

HCF = Product of the numbers/ LCM

=> HCF = 1152/288

=> HCF = 4

Therefore, the HCF of 32 and 36 is 4.