Question

Find the HCF of 60,36,24

Answer 1

2l60

2l30

3l15

5l5

l1

2l36

2l18

3l9

3l3

l1

2l24

2l12

2l6

3l3

l1. ¥¥¥¥ 60---2*2*3*5

36---2*2*3*3

24-----2*2*2*3

---------2*2*3

-----------12

Answer 2

Answer:

The HCF of 60, 36, and 24 is 12.

Step-by-step explanation:

Given: The numbers are 60, 36, and 24.

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 60, 36, and 24.

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

The factors of 24 are: $1, 2, 3, 4, 6, 8, 12, 24$

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

The factors of 60 are: $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

From the above, we can see that 12 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 12.