GCF of 4793/958, 7200/1362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4793/958, 7200/1362 i.e 1/652398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4793/958, 7200/1362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4793/958,7200/1362?
Given fractions are 4793/958,7200/1362
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4793/958,7200/1362, numerators are 4793,7200
Denominators are 958,1362
The GCF of 4793,7200 is 1 .
LCM of 958,1362 is 652398.
The greatest common factor of 4793/958,7200/1362 = [GCF of 4793,7200]/[LCM of 958,1362]= 1/652398
Therefore, the GCF of 4793/958,7200/1362 is 1/652398.
To find the highest common factor of 4793,7200, we have to find the factors of both numbers and list the highest common factor.
The factors of 4793 are 1, 4793
The factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200
The HCF of 4793,7200 is 1.
Lets's calculate GCF of 4793,7200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4793,7200 By Matching Biggest Common Factor Method
Now, list down the factors of 4793
:1,4793
Now, list down the factors of 7200
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200
Greatest Common Factor
We found the factors 4793,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 4793,7200 is 1.
Lets's calculate LCM of 958,1362
| 2 | 958, 1362 |
| 479, 681 |
∴ So the LCM of the given numbers is 2 x 479 x 681 = 652398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652398
Therefore, the GCF of Fractions 4793/958,7200/1362 is 1/652398
Least Common Multiple of 958,1362 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 958,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,1362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,1362) x common factors =2 x 1 = 2
LCM(958,1362) = ( 958 × 1362 ) / 2
LCM(958,1362) = 1304796 / 2
LCM(958,1362) = 652398
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FAQs on GCF of Fractions of 4793/958, 7200/1362
1. What is the HCF of 4793,7200?
The HCF of 4793,7200 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4793/958, 7200/1362?
Answer: GCF of Numerators as per given numbers 4793/958, 7200/1362 is
GCF of Numerators i.e. for 4793,7200 is 1
LCM of denominators i.e. for 958,1362 is 652398.
Thus, GCF of Fractions is 1/652398.Finally, GCF of Fractions for 4793/958, 7200/1362 is 1/652398.