Find the HCF of 168 and 126?

Answer: HCF of (126, 168) = 42

The Highest Common Factor (HCF) is the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder.

Example:

Consider the two number 8 and 12.

As the highest number that can divide both 8 and 12 is 4.

Therefore, the H.C.F. of 8 and 12 would be 4.

Let us find the HCF of 126 and 168

The prime factorization of 126 can be written as

126 = 2 × 3 × 3 × 7

The prime factorization of 168 can be written as

168 = 2 × 2 × 2 × 3 × 7

Let us find the HCF (Highest common factor)

HCF = 2 × 3 × 7

∴ HCF (126, 168) = 42

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