Question

45,75,105 find the hcf

Answer 1

the highest common factor of 45,75,105

=15

Answer 2

Answer:

The HCF of 45, 75, and 105 is 15.

Step-by-step explanation:

Given: The numbers are 45, 75, and 105.

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 45, 75, and 105.

The factors of the above numbers will be:

The factors of 45 are: $1, 3, 5, 9, 15, 45$

The factors of 75 are: $1, 3, 5, 15, 25, 75$

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

From the above, we can see that 15 is the largest positive integer that divides each of the above integers

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

NOTE:

Q. Find the HCF of 45, 75, and 105.