GCF of 5014/813, 7739/5921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5014/813, 7739/5921 i.e 109/4813773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5014/813, 7739/5921.
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 5014/813,7739/5921?
Given fractions are 5014/813,7739/5921
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 5014/813,7739/5921, numerators are 5014,7739
Denominators are 813,5921
The GCF of 5014,7739 is 109 .
LCM of 813,5921 is 4813773.
The greatest common factor of 5014/813,7739/5921 = [GCF of 5014,7739]/[LCM of 813,5921]= 109/4813773
Therefore, the GCF of 5014/813,7739/5921 is 109/4813773.
To find the highest common factor of 5014,7739, we have to find the factors of both numbers and list the highest common factor.
The factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014
The factors of 7739 are 1, 71, 109, 7739
The HCF of 5014,7739 is 109.
Lets's calculate GCF of 5014,7739
| 109 | 5014, 7739 |
| 46, 71 |
∴ So the GCF of the given numbers is 109 = 109
Greatest Common Factor of 5014,7739 By Matching Biggest Common Factor Method
Now, list down the factors of 5014
:1,2,23,46,109,218,2507,5014
Now, list down the factors of 7739
:1,71,109,7739
Greatest Common Factor
We found the factors 5014,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 5014,7739 is 109.
Lets's calculate LCM of 813,5921
Given numbers has no common factors except 1. So, there LCM is their product i.e 4813773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/4813773
Therefore, the GCF of Fractions 5014/813,7739/5921 is 109/4813773
Least Common Multiple of 813,5921 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 813,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,5921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,5921) x common factors =1 x 1 = 1
LCM(813,5921) = ( 813 × 5921 ) / 1
LCM(813,5921) = 4813773 / 1
LCM(813,5921) = 4813773
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FAQs on GCF of Fractions of 5014/813, 7739/5921
1. What is the HCF of 5014,7739?
The HCF of 5014,7739 is 109
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 5014/813, 7739/5921?
Answer: GCF of Numerators as per given numbers 5014/813, 7739/5921 is
GCF of Numerators i.e. for 5014,7739 is 109
LCM of denominators i.e. for 813,5921 is 4813773.
Thus, GCF of Fractions is 109/4813773.Finally, GCF of Fractions for 5014/813, 7739/5921 is 109/4813773.