What is the HCF of 48 and 64?

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Asked: February 23, 20232023-02-23T15:09:24+05:30 2023-02-23T15:09:24+05:30In: Mathematics

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Kajal Gupta · Answer 1 · 2023-02-24T23:41:32+05:30

To find the HCF (highest common factor) of 48 and 64, we can use the Euclidean algorithm:

We divide the larger number (in this case, 64) by the smaller number (48) and find the remainder:
64 ÷ 48 = 1 remainder 16
We then divide the smaller number (48) by the remainder (16) and find the new remainder:
48 ÷ 16 = 3 remainder 0
Since we have obtained a remainder of 0, the HCF of 48 and 64 is the divisor used in the last step, which is 16.

Therefore, the HCF of 48 and 64 is 16.