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: It is true that the product of LCM & HCF is equal to the product of both numbers. Step-by-step explanation: prime factor 32 is 2x2x2x2x2 prime factor 36 is 2x2x3x3 HCF is 2x2 i.e 4 HCF of 32 and 36 is 4

request; please make my answer brainly

Answer 2

Let the two numbers be a and b

∴ HCF × LCM = a×b

∴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 of of 36= 36,72,108,144,180,216,252,288

Clearly, 288 is the LCM of these numbers.

Therefore,

HCF = $\frac{aXb}{LCM}$

HCF = $\frac{1152}{288}$

∴HCF = 4

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