Question

HCF (105,25) = ....................​

Answer 1

Answer:

The HCF of 105 and 25 is 5.

Step-by-step explanation:

Given: The numbers are 105 and 25.

We have to find the HCF of the above numbers.

• As we know that the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We are solving in the following way:

We have,

The numbers are 105 and 25.

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

The factors of 25 are: $1, 5, 25$

The factors of 105 are: $1, 3, 5, 7, 15, 21, 35, 105$

From the above, we can see that 5 is the largest positive integer that divides each of the integers.

Therefore the greatest common factor is 5.

In this problem, we are assuming we have to find the HCF of the given numbers.

Q. Find HCF of 105 and 25.