GCF of 5107/515, 7240/7640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5107/515, 7240/7640 i.e 1/786920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5107/515, 7240/7640.
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 5107/515,7240/7640?
Given fractions are 5107/515,7240/7640
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 5107/515,7240/7640, numerators are 5107,7240
Denominators are 515,7640
The GCF of 5107,7240 is 1 .
LCM of 515,7640 is 786920.
The greatest common factor of 5107/515,7240/7640 = [GCF of 5107,7240]/[LCM of 515,7640]= 1/786920
Therefore, the GCF of 5107/515,7240/7640 is 1/786920.
To find the highest common factor of 5107,7240, we have to find the factors of both numbers and list the highest common factor.
The factors of 5107 are 1, 5107
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The HCF of 5107,7240 is 1.
Lets's calculate GCF of 5107,7240
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5107,7240 By Matching Biggest Common Factor Method
Now, list down the factors of 5107
:1,5107
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Greatest Common Factor
We found the factors 5107,7240 . The biggest common factor number is the GCF number.
So the greatest common factor 5107,7240 is 1.
Lets's calculate LCM of 515,7640
| 5 | 515, 7640 |
| 103, 1528 |
∴ So the LCM of the given numbers is 5 x 103 x 1528 = 786920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786920
Therefore, the GCF of Fractions 5107/515,7240/7640 is 1/786920
Least Common Multiple of 515,7640 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 515,7640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,7640) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,7640) x common factors =5 x 1 = 5
LCM(515,7640) = ( 515 × 7640 ) / 5
LCM(515,7640) = 3934600 / 5
LCM(515,7640) = 786920
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FAQs on GCF of Fractions of 5107/515, 7240/7640
1. What is the HCF of 5107,7240?
The HCF of 5107,7240 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 5107/515, 7240/7640?
Answer: GCF of Numerators as per given numbers 5107/515, 7240/7640 is
GCF of Numerators i.e. for 5107,7240 is 1
LCM of denominators i.e. for 515,7640 is 786920.
Thus, GCF of Fractions is 1/786920.Finally, GCF of Fractions for 5107/515, 7240/7640 is 1/786920.