Question

find HCF and LCM of 404 and 96 and verify that HCF and LCM product of the two given numbers

Answer 1

Answer:

38,784

Step-by-step explanation:

First find the HCF of 404 and 96

The factors of 404 are 2 x 2 x 101

The factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

So the hcf is 2 x 2 = 4

Now let us find the LCM of 404 and 96

The factors of 404, 96 are 2 x 2 x 2 x 2 x 2 x 101 x 3 = 9696

So 9696 x 4 = 38,784

Now the product of 404 x 96 is also equal to 38,784.

Thus it is 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

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2. Hcf and lcm of 404 and 96 and verify that hcf ×lcm=product of two numbers

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