HCF means highest common factor . It means the greatest number which can divide the given numbers

HCF is also known as Greatest Common Divisor (GCD)

 

Find HCF of 4 & 6

To find HCF , we do prime factorization of 4 & 6 separately

Find HCF of 4 & 6.jpg

 

4 = 2 × 2

6 = 2 × 3

 

HCF of 4 & 6 = 2

 

Find HCF of 12 & 16

To find HCF , we do prime factorization of 12 & 16 separately

Find HCF of 12 & 16.jpg

12 = 2 × 2 × 3

16 = 2 × 2 × 2 × 2

 

HCF of 12 & 16 = 2 × 2 = 4

 

Find HCF of 20, 28, 36

Doing Prime factorization of 20, 28 & 36 separately

Find HCF of 20, 28, 36.jpg

20 = 2 × 2 × 5

28 = 2 × 2 × 7

36 = 2 × 2 × 3 × 3  

 

So, HCF of 20, 28 & 36 = 2 × 2 = 4

 

HCF of 13 & 23

HCF of 13 & 23.jpg

13 = 13

23 = 23

Since there are no common prime factors ,

only 1 will be the common factor

∴ HCF = 1

  1. Chapter 3 Class 6 Playing with Numbers
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.