This document discusses how to find the highest common factor (HCF) of two numbers. It provides examples of finding the HCF of 10 and 15, which is 5, and of 24 and 36, which is 12. The document explains that to find the HCF, you find the prime factors of both numbers and the largest factor that is common to both numbers. It encourages the reader to find the HCF of 12 and 16, and of 8 and 12.

1. High common
Factor( HCF )

2. Factors and multiplies
8
EXAMPLE 1
Factors :
1, 2, 4, 8
Multiple:
8, 16, 24, 32

3. Now find the factor and
multiple of 10!
10
Factors :
Multiple:

4. Now find the factor and
multiple of 10!
10
Factors :
1, 2, 5, 10
Multiple:
10,20,30,40

5. Example 1: HCF of 10 and 15
Factors of 10: 1, 2, 5
Factors of 15: 1, 3, 5
Common factors of 10 and 15 : 1, 5
HCF of 10 and 15: 5 (1 x 5)

6. Example 2: HCF of 24 and 36
Prime factors of 24: 1, 2, 3, 4, 6, 8, 12
Prime factors of 36: 1, 2, 3, 4, 6, 12
Common prime factors: 12
HCF =12

7. Now try finding the HCF of
12 and 16

8. HCF of 9 and 15
Prime factors of 9: 1, 3, 9
Prime factors of 15: 1, 3, 5
Common prime factors: 3
HCF = 3

9. Now try finding the HCF of
8 and 12