Question

H.C.F of 16 and 144 ?​

Answer 1

thank you for point dear

bye

good night

Answer 2

HCF of 16 and 144 by Listing Common Factors

Factors of 16: 1, 2, 4, 8, 16

Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

There are 5 common factors of 16 and 144, that are 1, 2, 4, 8, and 16. Therefore, the highest common factor of 16 and 144 is 16.

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HCF of 16 and 144 by Long Division

HCF of 16 and 144 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step 1: Divide 144 (larger number) by 16 (smaller number).

Step 2: Since the remainder = 0, the divisor (16) is the HCF of 16 and 144.

The corresponding divisor (16) is the HCF of 16 and 144.

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HCF of 16 and 144 by Euclidean Algorithm

As per the Euclidean Algorithm, HCF(X, Y) = HCF(Y, X mod Y)

where X > Y and mod is the modulo operator.

Here X = 144 and Y = 16

HCF(144, 16) = HCF(16, 144 mod 16) = HCF(16, 0)

HCF(16, 0) = 16 (∵ HCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of HCF of 16 and 144 is 16.

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