Question

Find the Hcf of 210,300,525

Answer 1

hcf of these three numbers is 15

Answer 2

Answer:

The HCF of 210, 300, and 525 is 15.

Step-by-step explanation:

Given: The numbers are 210, 300, and 525.

We have to find the HCF of the above numbers.

• As we know that, 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 210, 300, and 525.

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

The factors of 210 are: $1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210$

The factors of 300 are: $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300$

The factors of 525 are: $1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525$

From the above, we can see that 15 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 15.