Question

find the hcf of 156,144,180

Answer 1

the answer of the question is 108

Answer 2

Answer:

The HCF of 156, 144, and 180​ is 12.

Step-by-step explanation:

Given: The numbers are 156, 144, and 180​.

We have to find the HCF of the above numbers.

• For this, we will first find the factors of the above numbers.
• And then, the largest positive integer that divides each of the given integers will be the HCF of the above numbers.

We are solving in the following way:

We have,

The numbers are 156, 144, and 180​.

The factors of the above numbers will be:

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

The factors of 156 are: $1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156$

The factors of 180 are: $1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180$

From the above, we can see that 12 is the largest positive integer that divides each of the above integers

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