Question

Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.​

Answer 1

Answer:

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Step-by-step explanation:

Here, 404 = 2 × 2 × 101

And 96 = 2 × 2 × 2 × 2 × 2 × 3

Common factors = 2 × 2

∴ HCF of 404 and 96 = 2 × 2 = 4

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

Now, HCF × LCM = 4 × 9696 = 38784

And product of the two numbers = 404 × 96 = 38784

Hence, it is verified. HCF × LCM = Product of 404 and 96.

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Answer 2

Answer:

404 = 2 × 2 × 101

96 = 2 × 2 × 2 × 2 × 2 × 3

HCF = 2 × 2 = 4

LCM = 2 × 2 × 2× 2 × 2 ×3 × 101 = 9696

HCF × LCM = 4 × 9696 = 38784

Product = 404 × 96 = 38784

So HCF × LCM = Product