GCF of 4941/509, 7159/6877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4941/509, 7159/6877 i.e 1/3500393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4941/509, 7159/6877.
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 4941/509,7159/6877?
Given fractions are 4941/509,7159/6877
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 4941/509,7159/6877, numerators are 4941,7159
Denominators are 509,6877
The GCF of 4941,7159 is 1 .
LCM of 509,6877 is 3500393.
The greatest common factor of 4941/509,7159/6877 = [GCF of 4941,7159]/[LCM of 509,6877]= 1/3500393
Therefore, the GCF of 4941/509,7159/6877 is 1/3500393.
To find the highest common factor of 4941,7159, we have to find the factors of both numbers and list the highest common factor.
The factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941
The factors of 7159 are 1, 7159
The HCF of 4941,7159 is 1.
Lets's calculate GCF of 4941,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4941,7159 By Matching Biggest Common Factor Method
Now, list down the factors of 4941
:1,3,9,27,61,81,183,549,1647,4941
Now, list down the factors of 7159
:1,7159
Greatest Common Factor
We found the factors 4941,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 4941,7159 is 1.
Lets's calculate LCM of 509,6877
Given numbers has no common factors except 1. So, there LCM is their product i.e 3500393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3500393
Therefore, the GCF of Fractions 4941/509,7159/6877 is 1/3500393
Least Common Multiple of 509,6877 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 509,6877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,6877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,6877) x common factors =1 x 1 = 1
LCM(509,6877) = ( 509 × 6877 ) / 1
LCM(509,6877) = 3500393 / 1
LCM(509,6877) = 3500393
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FAQs on GCF of Fractions of 4941/509, 7159/6877
1. What is the HCF of 4941,7159?
The HCF of 4941,7159 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 4941/509, 7159/6877?
Answer: GCF of Numerators as per given numbers 4941/509, 7159/6877 is
GCF of Numerators i.e. for 4941,7159 is 1
LCM of denominators i.e. for 509,6877 is 3500393.
Thus, GCF of Fractions is 1/3500393.Finally, GCF of Fractions for 4941/509, 7159/6877 is 1/3500393.