Examples of Greatest Common Factor (G.C.F)
G.C. F (Greatest Common Factor) is same as Highest Common Factor (H.C. F) that is the highest or greatest number by which two or more number is completely divisible without leaving any remainder.
This topic on G.C. F (Greatest Common Factor) will provide a wide range of examples which would be helpful to the learners for their better understanding and knowledge.
Here examples on G.C. F (Greatest Common Factor) are illustrated below:
1. Find the greatest common factor of 77 and 84
Solution:
The prime factors of 77 are= 7 × 11
The prime factors of 84 are: 2 × 2 × 3 × 7 = 22 × 3 × 7
The common prime factor of 77 and 84 is 7
The lowest power of 7 is 7
Therefore, G. C. F = 7
2. Find the greatest common factor of 92 and 230
Solution:
The prime factors of 92 are: 2 × 2 × 23 = 22 × 23
The prime factors of 230 are: 2 × 5 × 23
The common prime factors of 92 and 230 are 2 and 23
The lowest power of 2 is 2
The lowest power of 23 is 23
Therefore, G. C. F = 2 × 23 = 46
3. Find the greatest common factor of 120, 240, and 360
Solution:
The prime factors of 120 are: 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
The prime factors of 240 are: 2 × 2 × 2 × 2 × 3 × 5 = 24 × 3 × 5
The prime factors of 240 are: 2 × 2 × 2 × 3 × 3 × 5 = 23 × 32 ×5
The common prime factors of 120, 240 and 360 are 2, 3, 5
The lowest power of 2 is 23
The lowest power of 3 is 3
The lowest power of 5 is 5
Therefore, G. C. F = 23 × 3 × 5 = 2 × 2 × 2 × 3 × 5 = 120
4. Find the greatest common factor of 48 and 96
Solution:
The prime factors of 48 are: 2 × 2 × 2 × 2 × 3 = 24 × 3
The prime factors of 96 are: 2 × 2 × 2 × 2 × 2 × 3 = 25 × 3
The common prime factors of 48 and 96 are 2 and 3
The lowest power of 2 is 24
The lowest power of 3 is 3
Therefore, G. C. F = 24 × 3 = 2 × 2 × 2 × 2 × 3 = 48
5. Find the greatest common factor of 255, 170 and 85
Solution:
The prime factors of 255 are: 5 × 3 × 17
The prime factors of 170 are: 2 × 5 × 17
The prime factors of 85 are: 5 × 17
The common prime factors of 255, 170 and 85 are 5 and 17
The lowest power of 5 is 5
The lowest power of 17 is 17
Therefore, G. C. F = 5 × 17 = 85
You might like these
Worksheet on Divisibility Rules | Questions on Test of Divisibility
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Problems on Divisibility Rules | Rules to Test of Divisibility | Test
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
From Examples of Greatest Common Factor (G.C.F) to HOME PAGE
Recent Articles
-
Regulation of Respiration | Respiratory Centres | Inspiratory Area |
Oct 14, 25 12:13 AM
Respiratory Centre is the area that controls the rate of respiration and it is observed to be located in medulla oblongata and pons. Respiratory Centre has the following will dispersed components like… -
Explain Transport of Gases | External Respiration | Tissue Respiration
Oct 09, 25 11:35 PM
In humans gaseous exchange is completed in the following ways the steps are - External Respiration or Breathing - Breathing in false taking in of Oxygen and giving out of carbon dioxide in the body. M… -
Kind and Number of Teeth | Location of Teeth in Mouth | Care of Teeth
Sep 11, 25 12:52 AM
Kind and Number of Teeth -
The Gaseous Exchange | Transport of Oxygen | Haldane Effect |
Sep 10, 25 02:44 PM
Oxygen carrying capacity of blood is 20 ml for 100m but 3% of dissolved in plasma and 97% of the oxygen combines with haemoglobin to form a loose reversible Complex called oxyhaemoglobin and is transp… -
Respiratory Volumes and Capacities | Tidal Volume | Dead Space
Sep 10, 25 02:46 AM
Explain respiratory volumes and capacities: Tidal Volume - Tidal volume is the volume of air inspired or expired in relaxed or resting position. Amount of tidal volume is about 500 m and it consists o…
New! Comments
Have your say about what you just read! Leave me a comment in the box below.