Question

The HCF of 12, 18, 27 is

Answer 1

Answer:

Step-by-step explanation:

12 = 2×2×3

18 = 2×3×3

27 = 3×3×3

so, HCF = 3

LCM = 3×3×3×2×2= 108

Answer 2

Concept:

In mathematics, Least Common Multiple is referred to LCM by its entire name, whereas Highest Common Factor is 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.

Multiplication of two numbers = HCF x LCM

Given:

12, 18, 27

Find:

The HCF of 12, 18, 27 is

Solution:

Using prime factorisation,

12 = 2×2×3

18 = 2×3×3

27 = 3×3×3

so, HCF = 3

LCM = 3×3×3×2×2= 108

Therefore, the HCF is 3

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