Question

Find the HCF and LCM of 404 and 96 and verify that HCF multiple By LCM is eaqul of the product of two no.

Answer 1

Finding the HCF and LCM of 404 and 96 by Prime Factorisation Method -

404 = 2 x 2 x 101

96 = 2 x 2 x 2 x 2 x 2 x 3

HCF of 404 and 96 = 2 x 2 = 4


LCM of 404 and 96 = 2 x 2 x 2 x 2 x 2 x 3 x 101 = 9696

First Number = 404

Second Number = 96

HCF = 4

LCM = 9696


Verification -

Product of Two Numbers = HCF x LCM

404 x 96 = 4 x 9696

38784 = 38784.

Hence : verified.

Answer 2

Product of two numbers = HCF × LCM

Step-by-step explanation:

Given numbers are 404 and 96.

404 = 101 × 2 × 2

96 = 3 × 2 × 2 × 2 × 2 × 2

HCF of 404 and 96 = 2 × 2 = 4

LCM of 404 and 96 = 2 × 2 × 101 × 3 × 2 × 2 × 2 = 9696

HCF = 4

LCM = 9696

Verification:

Product of two numbers = 404 × 96 = 38784

HCF × LCM = 4 × 9696 = 38784

Hence product of two numbers = HCF × LCM.

To learn more...

1. Find hcf and lcm of 404 and 96 and verify that hcf×lcm =product of two numbers  

brainly.in/question/3098913

2. Find HCF and LCM of 404 and 96 and verify that HCF and LCM product of the two given numbers

brainly.in/question/3099953