Question

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

Answer 1

Hi Mate !!


Given that LCM and HCF of two nos. are equal. So ,let the equal be x

LCM = HCF = x

• HCF × LCM = Product of two nos.

x × x = 1369

x² = 1369

x = √1369

x = ± 37

Since , HCF can't be negative
hence , the HCF is 37 !!

Answer 2

Given:

Tota numbers = 2

LCM and HCF of two numbers are equal

Product of two numbers = 1369.

To find:

The HCF

Solution:

Let the HCF be = x

Since, LCM and HCF of two numbers are equal

Therefore,

LCM = HCF = x

The product of two numbers is 1369.

Thus,

1369 = x × x

1369 = x²

x = √1369

x = 37

Answer: The HCF of the numbers is 37.