GCF of 5110/538, 5187/4971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5110/538, 5187/4971 i.e 7/2674398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5110/538, 5187/4971.
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 5110/538,5187/4971?
Given fractions are 5110/538,5187/4971
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 5110/538,5187/4971, numerators are 5110,5187
Denominators are 538,4971
The GCF of 5110,5187 is 7 .
LCM of 538,4971 is 2674398.
The greatest common factor of 5110/538,5187/4971 = [GCF of 5110,5187]/[LCM of 538,4971]= 7/2674398
Therefore, the GCF of 5110/538,5187/4971 is 7/2674398.
To find the highest common factor of 5110,5187, we have to find the factors of both numbers and list the highest common factor.
The factors of 5110 are 1, 2, 5, 7, 10, 14, 35, 70, 73, 146, 365, 511, 730, 1022, 2555, 5110
The factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
The HCF of 5110,5187 is 7.
Lets's calculate GCF of 5110,5187
| 7 | 5110, 5187 |
| 730, 741 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5110,5187 By Matching Biggest Common Factor Method
Now, list down the factors of 5110
:1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110
Now, list down the factors of 5187
:1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187
Greatest Common Factor
We found the factors 5110,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 5110,5187 is 7.
Lets's calculate LCM of 538,4971
Given numbers has no common factors except 1. So, there LCM is their product i.e 2674398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2674398
Therefore, the GCF of Fractions 5110/538,5187/4971 is 7/2674398
Least Common Multiple of 538,4971 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 538,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,4971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,4971) x common factors =1 x 1 = 1
LCM(538,4971) = ( 538 × 4971 ) / 1
LCM(538,4971) = 2674398 / 1
LCM(538,4971) = 2674398
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FAQs on GCF of Fractions of 5110/538, 5187/4971
1. What is the HCF of 5110,5187?
The HCF of 5110,5187 is 7
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 5110/538, 5187/4971?
Answer: GCF of Numerators as per given numbers 5110/538, 5187/4971 is
GCF of Numerators i.e. for 5110,5187 is 7
LCM of denominators i.e. for 538,4971 is 2674398.
Thus, GCF of Fractions is 7/2674398.Finally, GCF of Fractions for 5110/538, 5187/4971 is 7/2674398.