Examples on Highest Common Factor (H.C.F) 

Highest common factor is the highest or greatest number that divides the two or three numbers without leaving any remainder. So that highest number is called the H.C.F of that group of two or three numbers.

This topic will provide examples on H.C.F (highest common factor) which will help the learners to improve their knowledge, understanding and will help in getting a clear understanding of the concepts on H.C.F better.

Here are few illustrated on Highest Common Factor (H. C.F)

1. Find the H.C.F of 75, 50 and 125

Solution:

The factors of 75 are = 5 × 5 × 3 = 5× 3

The factors of 50 are = 5 × 5 × 2 = 5× 2

The factors of 125 are = 5 × 5 × 5 = 53

Therefore, the common prime factor of 75, 50 and 125 is 5

The lowest power of 5 is 52

Therefore, H.C.F = 5= 5 × 5 = 25


2. Find the H.C.F of 64, 32, and 256

Solution:

The factors of 64 are = 2 × 2 × 2 × 2 × 2 × 2 = 26

The factors of 32 are = 2 × 2 × 2 × 2 × 2 = 25

The factors of 256 are = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 28

Therefore, the common prime factor of 64, 32 and 256 is 2

 The lowest power of 2 is 25

Therefore, H.C.F = 2 × 2 × 2 × 2 × 2 = 32


3. Find the H.C.F of 11, 121, and 1331

Solution:

The factor of 11 is = 11

The factors of 121 are = 11 × 11 =112

The factors of 1331 are = 11 × 11 × 11 = 113

Therefore, the common prime factor of 11, 121, and 1331 is 11

The lowest power of 11 is 11

Therefore, H.C.F = 11


4. Find the H.C.F of 48, 96, and 12

Solution:

The factors of 48 are = 2 × 2 × 2 × 2 × 3 = 24 × 3 

The factors of 96 are = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 3

The factors of 12 are = 2 × 2 × 3 = 22 × 3

Therefore, the common prime factors of 48, 96 and 12 are 2 and 3

The lowest power of 2 is 22

The lowest power of 3 is 3

Therefore, H.C.F = 2 × 2 × 3 = 12


5. Find the H.C.F of 81, 27 and 33

Solution:

The factors of 81 are = 3 × 3 × 3 × 3 = 34

The factors of 27 are = 3 × 3 × 3 = 33

The factors of 33 are = 3 × 11      

Therefore, the common prime factors of 81, 27 and 33 is 3

The lowest power of 3 is 3

Therefore, H.C.F = 3 

You might like these



5th Grade Math

From Examples on Highest Common Factor (H.C.F) to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below.


Recent Articles

  1. Eleventh Grade | Eleventh Grade Science | Eleventh Grade Math

    Jun 27, 25 12:26 AM

    Eleventh grade biology has been designed in accordance with the recommended topics. We will cover all the topics in biology very exciting and interesting way.

    Read More

  2. Explain Digestion of Food | Salivary Glands | Oesophagus | Stomach

    Jun 27, 25 12:20 AM

    Human Digestive System
    Before the digestion is start by the different enzymes secreted from the different digestive glands food must be turned and chut or mixed with saliva inside the mouth.

    Read More

  3. Explain Human Digestive System | Mouth | Tongue | Pharynx | Teeth

    Jun 21, 25 01:15 PM

    Tongue
    Digestive system is a system of alimentary canal and digestive glands. Alimentary canal- alimentary canal is a tube of variable diameter having muscular wall and glandular epithelial tissues which sta…

    Read More

  4. Vernalisation in Plants | Definition | Mechanism | Devernalization |

    Jun 18, 25 01:34 PM

    Photoperiod and Vernalisation
    Definition of vernalisation- The change of flowering habit due to the low temperature treatment is known as vernalisation. This is a physiological process which was denoted by Clipart in 1857 invite b…

    Read More

  5. The Food We Eat | Food we Get from Plants and Animals | Carbohydrates

    Jun 15, 25 03:20 PM

    Food We Eat
    What are the food that we should eat? Find out the names of ten food items in the word maze. Write the names in the correct column of the table given below. Food we get from plants Food we get from an…

    Read More