Question

find the HCF of 72,18,12​

Answer 1

Answer:

HCF = 6

Step-by-step explanation:

The prime factorisation of 72 , 18 , 12.

72 = 2*2*2*3*3 = 2^3 ✖ 3^2

18 = 2*3*3 = 2 ✖ 3^2

12 = 2*2*3 = 2^2 ✖ 3

HCF = 2 ✖ 3

= 6

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Answer 2

Answer:

The HCF of 72, 18, and 12​ is 6.

Step-by-step explanation:

Given: The numbers are 72, 18, and 12.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 72, 18, and 12.

First, we will find the factors of the above numbers.

The factors of 12 are: $1, 2, 3, 4, 6, 12$

The factors of 18 are: $1, 2, 3, 6, 9, 18$

The factors of 72 are: $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72$

From the above, we can see that 6 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 6.