GCF of 5056/254, 3131/6320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5056/254, 3131/6320 i.e 1/802640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5056/254, 3131/6320.
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 5056/254,3131/6320?
Given fractions are 5056/254,3131/6320
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 5056/254,3131/6320, numerators are 5056,3131
Denominators are 254,6320
The GCF of 5056,3131 is 1 .
LCM of 254,6320 is 802640.
The greatest common factor of 5056/254,3131/6320 = [GCF of 5056,3131]/[LCM of 254,6320]= 1/802640
Therefore, the GCF of 5056/254,3131/6320 is 1/802640.
To find the highest common factor of 5056,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
The factors of 3131 are 1, 31, 101, 3131
The HCF of 5056,3131 is 1.
Lets's calculate GCF of 5056,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5056,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 5056,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 5056,3131 is 1.
Lets's calculate LCM of 254,6320
| 2 | 254, 6320 |
| 127, 3160 |
∴ So the LCM of the given numbers is 2 x 127 x 3160 = 802640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802640
Therefore, the GCF of Fractions 5056/254,3131/6320 is 1/802640
Least Common Multiple of 254,6320 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 254,6320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,6320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,6320) x common factors =2 x 1 = 2
LCM(254,6320) = ( 254 × 6320 ) / 2
LCM(254,6320) = 1605280 / 2
LCM(254,6320) = 802640
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FAQs on GCF of Fractions of 5056/254, 3131/6320
1. What is the HCF of 5056,3131?
The HCF of 5056,3131 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 5056/254, 3131/6320?
Answer: GCF of Numerators as per given numbers 5056/254, 3131/6320 is
GCF of Numerators i.e. for 5056,3131 is 1
LCM of denominators i.e. for 254,6320 is 802640.
Thus, GCF of Fractions is 1/802640.Finally, GCF of Fractions for 5056/254, 3131/6320 is 1/802640.