Question

Find the HCF of 204,144,252?​

Answer 1

hope it is helpful.............

Answer 2

Answer:

The HCF of 204, 144, and 252​​ is 12.

Step-by-step explanation:

Given: The numbers are 204, 144, and 252​​.

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 204, 144, and 252​​.

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

The factors of 144 are: $1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144$

The factors of 204 are: $1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204$

The factors of 252 are: $1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252$

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.