How to find hcf of8, 28 and 36

To find the highest common factor (HCF) of 8, 28, and 36, we can determine the factors of each number and identify the highest common factor.

1. Determine the factors of each number:

Factors of 8: 1, 2, 4, 8
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

2. Identify the common factors among the numbers:

The common factors of 8, 28, and 36 are 1 and 2.

3. Determine the highest common factor:

The highest common factor of the three numbers is 2.

Therefore, the HCF of 8, 28, and 36 is 2.

To find the Highest Common Factor (HCF) of 8, 28, and 36, follow these steps:

Step 1: List the prime factors of each number.
- Prime factors of 8: 2 x 2 x 2
- Prime factors of 28: 2 x 2 x 7
- Prime factors of 36: 2 x 2 x 3 x 3

Step 2: Identify the common prime factors among the numbers.
- The common prime factors are: 2 x 2 = 4

Step 3: Multiply the common prime factors together to find the HCF.
- HCF of 8, 28, and 36 = 4

Therefore, the Highest Common Factor of 8, 28, and 36 is 4.