# What is the HCF of 8, 9 and 25?

Highest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: HCF of 8, 9 and 25 is 1

We can find the HCF by the following methods

## Methods to Find the HCF of 8 9 and 25

- Prime factorization Method
- Listing the common factors method
- Division MEthod

### Method 1: HCF of 8, 9 and 25 by Prime Factorization

Let us represent 8, 9 and 25 as a product of its prime numbers by doing Prime factorization

We See that there are no common factors between 8, 9, and 25.

so the universal factor 1 is the only common factor for 8 9 and 25

### Method 2: HCF of 8, 9 and 25 by Listing the Common Factors

We See that there are no common factors between 8, 9, and 25. otherthan 1

Therefore HCF of 8 9 and 25 is 1

### Method 3: HCF of 8,9 and 25 by division method

Step1: Let us take the largest number (25) as divisor and the smallest number (8) as divided and do the division

Step2:take the remaining value (9) as dividend and the common factor of 8 and 25 from the previous step as our divisor

Since there are no common factors the universal factor 1 is the HCF of 8,9 and 25

You can find the HCF in any of the above methods but the solution will be the same.