GCF of 5132/116, 8931/5106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5132/116, 8931/5106 i.e 1/296148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5132/116, 8931/5106.
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 5132/116,8931/5106?
Given fractions are 5132/116,8931/5106
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 5132/116,8931/5106, numerators are 5132,8931
Denominators are 116,5106
The GCF of 5132,8931 is 1 .
LCM of 116,5106 is 296148.
The greatest common factor of 5132/116,8931/5106 = [GCF of 5132,8931]/[LCM of 116,5106]= 1/296148
Therefore, the GCF of 5132/116,8931/5106 is 1/296148.
To find the highest common factor of 5132,8931, we have to find the factors of both numbers and list the highest common factor.
The factors of 5132 are 1, 2, 4, 1283, 2566, 5132
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The HCF of 5132,8931 is 1.
Lets's calculate GCF of 5132,8931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5132,8931 By Matching Biggest Common Factor Method
Now, list down the factors of 5132
:1,2,4,1283,2566,5132
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Greatest Common Factor
We found the factors 5132,8931 . The biggest common factor number is the GCF number.
So the greatest common factor 5132,8931 is 1.
Lets's calculate LCM of 116,5106
| 2 | 116, 5106 |
| 58, 2553 |
∴ So the LCM of the given numbers is 2 x 58 x 2553 = 296148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296148
Therefore, the GCF of Fractions 5132/116,8931/5106 is 1/296148
Least Common Multiple of 116,5106 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 116,5106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,5106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,5106) x common factors =2 x 1 = 2
LCM(116,5106) = ( 116 × 5106 ) / 2
LCM(116,5106) = 592296 / 2
LCM(116,5106) = 296148
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FAQs on GCF of Fractions of 5132/116, 8931/5106
1. What is the HCF of 5132,8931?
The HCF of 5132,8931 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 5132/116, 8931/5106?
Answer: GCF of Numerators as per given numbers 5132/116, 8931/5106 is
GCF of Numerators i.e. for 5132,8931 is 1
LCM of denominators i.e. for 116,5106 is 296148.
Thus, GCF of Fractions is 1/296148.Finally, GCF of Fractions for 5132/116, 8931/5106 is 1/296148.