GCF of 8238/960, 7125/9788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8238/960, 7125/9788 i.e 3/2349120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8238/960, 7125/9788.
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 8238/960,7125/9788?
Given fractions are 8238/960,7125/9788
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 8238/960,7125/9788, numerators are 8238,7125
Denominators are 960,9788
The GCF of 8238,7125 is 3 .
LCM of 960,9788 is 2349120.
The greatest common factor of 8238/960,7125/9788 = [GCF of 8238,7125]/[LCM of 960,9788]= 3/2349120
Therefore, the GCF of 8238/960,7125/9788 is 3/2349120.
To find the highest common factor of 8238,7125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8238 are 1, 2, 3, 6, 1373, 2746, 4119, 8238
The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
The HCF of 8238,7125 is 3.
Lets's calculate GCF of 8238,7125
| 3 | 8238, 7125 |
| 2746, 2375 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8238,7125 By Matching Biggest Common Factor Method
Now, list down the factors of 8238
:1,2,3,6,1373,2746,4119,8238
Now, list down the factors of 7125
:1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 8238,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 8238,7125 is 3.
Lets's calculate LCM of 960,9788
| 2 | 960, 9788 |
| 2 | 480, 4894 |
| 240, 2447 |
∴ So the LCM of the given numbers is 2 x 2 x 240 x 2447 = 2349120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2349120
Therefore, the GCF of Fractions 8238/960,7125/9788 is 3/2349120
Least Common Multiple of 960,9788 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 960,9788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,9788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(960,9788) x common factors =4 x 1 = 4
LCM(960,9788) = ( 960 × 9788 ) / 4
LCM(960,9788) = 9396480 / 4
LCM(960,9788) = 2349120
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FAQs on GCF of Fractions of 8238/960, 7125/9788
1. What is the HCF of 8238,7125?
The HCF of 8238,7125 is 3
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 8238/960, 7125/9788?
Answer: GCF of Numerators as per given numbers 8238/960, 7125/9788 is
GCF of Numerators i.e. for 8238,7125 is 3
LCM of denominators i.e. for 960,9788 is 2349120.
Thus, GCF of Fractions is 3/2349120.Finally, GCF of Fractions for 8238/960, 7125/9788 is 3/2349120.