Question

Math ka sum find the LCM and HCF of following pair integers 441 and 539

Answer 1

Answer:

Given:

We have been given two numbers 441 and 539.

To Find:

We need to find the HCF and LCM of these numbers.

Solution:

We can solve this but Euclid's Division algorithm.

Division in attachment.

Clearly 539 > 441

539 = 441 × 1 + 98

441 = 98 × 4 + 49

98 = 49 × 2 + 0

Therefore the HCF of 539 and 441 is 49.

Now, inorder to find the LCM we know,

HCF × LCM = Product of numbers

=> 49 × LCM = 539 × 441

=> 49 × LCM = 237699

=> LCM = 237699/49

=> LCM = 4851

Hence HCF of 539 and 441 is 49 and their LCM is 4851.