Question

Lcm and hcf of two numbers are equal and the product of two numbers is 1369.find the hcf

Answer 1

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Answer 2

Answer:

HCF = 37

Step-by-step explanation:

Given : LCM and HCF of two numbers are equal and the product of two numbers is 1369.

To find : The HCF

Solution : Let us take HCF = x

LCM and HCF of two numbers are equal

Therefore, LCM = HCF = x

The product of two numbers is 1369.

Product of two numbers = HCF × LCM

$1369 = x \times x$

$1369 = x^2$

$\sqrt{1369} = x$

$x=37$

Therefore, HCF = 37 and also LCM = 37