Question

find the HCF and LCM of 404 and 96 and verify that HCF×LCM= product of the two given Numbers.

Answer 1

Hope this helps...!!:)

Answer 2

404 = 2 × 2 × 101

= $\bf\huge (2)^2\times 101$

96 = 2 × 2 × 2 × 2 × 2 × 3

$\bf\huge (2)^5\times 3$

HCF ⇒ 2 × 2 = 4

$\bf\huge LCM = (2)^5 \times 3\times 101$

= 9696

HCF × LCM = $\bf\huge 4\times 9696$

= 38,784

404 × 96 = 38,784

HCF × LCM = Product of two numbers

= 38784

Hence Proved