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

HCF and LCM of 404 and 96

Now, we are going to prove that HCF × LCM = Product of the two given numbers for which the numbers are 404 and 96.

We found that HCF and LCM of 404 and 96 are 4 and 9696 respectively. Now, we will put these values in the above mentioned formula and check if LHS = RHS.

HCF × LCM = Product of the two given numbers 

4 × 9696 = 404 × 96

38784 = 38784

Here, we can see that the Left Hand Side (LHS) = Right Hand Side (RHS). Hence, we can say that HCF × LCM = Product of the two given numbers.

Summary:

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

By using the Prime factorization method, it is found that HCF and LCM of 404 and 96 are 4 and 9696 respectively. After that, put the obtained values in the formula HCF × LCM = Product of the two given numbers to verify that formula is true.

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