Question

Find the HCF of 28,35and49

Answer 1

Divide all the numbers to find HCF

Answer 2

Answer:

The HCF of 28, 35, and 49 is 7.

Step-by-step explanation:

Given: The numbers are 28, 35, and 49.

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 28, 35, and 49.

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

The factors of 28 are: $1, 2, 4, 7, 14, 28$

The factors of 35 are: $1, 5, 7, 35$

The factors of 49 are:$1, 7, 49$

From the above, we can see that 7 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 7.