Question

the HCF of 40, 60, and 75

Answer 1

40 = 2×2×2×5 = 2^3 ×5
60 = 2×2×3×5 = 2^2×3×5
75 = 5×5×3 = 5^2×3
HCF of ( 40,60 & 75 ) = 5

Answer 2

Concept:

In mathematics, Least Common Multiple is referred to LCM by its entire name, whereas Highest Common Factor is referred to HCF by its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).

We have two key techniques—the division method and the prime factorization approach—for determining H.C.F. and L.C.M.

Given:

40, 60, and 75

Find:

Find the HCF of 40, 60, and 75

Solution:

40 = 2×2×2×5 = 2^3 ×5

60 = 2×2×3×5 = 2^2×3×5

75 = 5×5×3 = 5^2×3

HCF of ( 40,60 & 75 ) = 5

Therefore, the HCF of 40, 60 and 75 is 5

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