GCF of 8311/502, 8640/514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8311/502, 8640/514 i.e 1/129014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8311/502, 8640/514.
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 8311/502,8640/514?
Given fractions are 8311/502,8640/514
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 8311/502,8640/514, numerators are 8311,8640
Denominators are 502,514
The GCF of 8311,8640 is 1 .
LCM of 502,514 is 129014.
The greatest common factor of 8311/502,8640/514 = [GCF of 8311,8640]/[LCM of 502,514]= 1/129014
Therefore, the GCF of 8311/502,8640/514 is 1/129014.
To find the highest common factor of 8311,8640, we have to find the factors of both numbers and list the highest common factor.
The factors of 8311 are 1, 8311
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 8311,8640 is 1.
Lets's calculate GCF of 8311,8640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8311,8640 By Matching Biggest Common Factor Method
Now, list down the factors of 8311
:1,8311
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 8311,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 8311,8640 is 1.
Lets's calculate LCM of 502,514
| 2 | 502, 514 |
| 251, 257 |
∴ So the LCM of the given numbers is 2 x 251 x 257 = 129014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129014
Therefore, the GCF of Fractions 8311/502,8640/514 is 1/129014
Least Common Multiple of 502,514 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 502,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,514) x common factors =2 x 1 = 2
LCM(502,514) = ( 502 × 514 ) / 2
LCM(502,514) = 258028 / 2
LCM(502,514) = 129014
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FAQs on GCF of Fractions of 8311/502, 8640/514
1. What is the HCF of 8311,8640?
The HCF of 8311,8640 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 8311/502, 8640/514?
Answer: GCF of Numerators as per given numbers 8311/502, 8640/514 is
GCF of Numerators i.e. for 8311,8640 is 1
LCM of denominators i.e. for 502,514 is 129014.
Thus, GCF of Fractions is 1/129014.Finally, GCF of Fractions for 8311/502, 8640/514 is 1/129014.