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
-
Definition of Respiratory Quotient | calculation | Application | Plant
Dec 02, 24 12:09 AM
Definition of respiration quotient- the ratio of the carbon-dioxide evolved to that of the oxygen consumed by a cell, tissue, plants or animals in a given time is called respiratory quotient. It is us… -
Amphibolic Pathway | Definition | Examples | Pentose Phosphate Pathway
Jun 06, 24 10:40 AM
Definition of amphibolic pathway- Amphibolic pathway is a biochemical pathway where anabolism and catabolism are both combined together. Examples of amphibolic pathway- there are different biochemical… -
Respiratory Balance Sheet | TCA Cycle | ATP Consumption Process
Feb 18, 24 01:56 PM
The major component that produced during the photosynthesis is Glucose which is further metabolised by the different metabolic pathways like glycolysis, Krebs cycle, TCA cycle and produces energy whic… -
Electron Transport System and Oxidative Phosphorylation | ETC |Diagram
Feb 04, 24 01:57 PM
It is also called ETC. Electron transfer means the process where one electron relocates from one atom to the other atom. Definition of electron transport chain - The biological process where a chains… -
Tricarboxylic Acid Cycle | Krebs Cycle | Steps | End Products |Diagram
Jan 28, 24 12:39 PM
This is a type of process which execute in a cyclical form and final common pathway for oxidation of Carbohydrates fat protein through which acetyl coenzyme a or acetyl CoA is completely oxidised to c…
New! Comments
Have your say about what you just read! Leave me a comment in the box below.