GCF of 8139/991, 8640/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8139/991, 8640/957 i.e 3/948387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8139/991, 8640/957.
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 8139/991,8640/957?
Given fractions are 8139/991,8640/957
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 8139/991,8640/957, numerators are 8139,8640
Denominators are 991,957
The GCF of 8139,8640 is 3 .
LCM of 991,957 is 948387.
The greatest common factor of 8139/991,8640/957 = [GCF of 8139,8640]/[LCM of 991,957]= 3/948387
Therefore, the GCF of 8139/991,8640/957 is 3/948387.
To find the highest common factor of 8139,8640, we have to find the factors of both numbers and list the highest common factor.
The factors of 8139 are 1, 3, 2713, 8139
The factors of 8640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640
The HCF of 8139,8640 is 3.
Lets's calculate GCF of 8139,8640
| 3 | 8139, 8640 |
| 2713, 2880 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8139,8640 By Matching Biggest Common Factor Method
Now, list down the factors of 8139
:1,3,2713,8139
Now, list down the factors of 8640
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Greatest Common Factor
We found the factors 8139,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 8139,8640 is 3.
Lets's calculate LCM of 991,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 948387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/948387
Therefore, the GCF of Fractions 8139/991,8640/957 is 3/948387
Least Common Multiple of 991,957 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 991,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,957) x common factors =1 x 1 = 1
LCM(991,957) = ( 991 × 957 ) / 1
LCM(991,957) = 948387 / 1
LCM(991,957) = 948387
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8139/991, 8640/957
1. What is the HCF of 8139,8640?
The HCF of 8139,8640 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 8139/991, 8640/957?
Answer: GCF of Numerators as per given numbers 8139/991, 8640/957 is
GCF of Numerators i.e. for 8139,8640 is 3
LCM of denominators i.e. for 991,957 is 948387.
Thus, GCF of Fractions is 3/948387.Finally, GCF of Fractions for 8139/991, 8640/957 is 3/948387.