GCF of 515/718, 9595/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 515/718, 9595/298 i.e 5/106982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/718, 9595/298.
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 515/718,9595/298?
Given fractions are 515/718,9595/298
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 515/718,9595/298, numerators are 515,9595
Denominators are 718,298
The GCF of 515,9595 is 5 .
LCM of 718,298 is 106982.
The greatest common factor of 515/718,9595/298 = [GCF of 515,9595]/[LCM of 718,298]= 5/106982
Therefore, the GCF of 515/718,9595/298 is 5/106982.
To find the highest common factor of 515,9595, we have to find the factors of both numbers and list the highest common factor.
The factors of 515 are 1, 5, 103, 515
The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595
The HCF of 515,9595 is 5.
Lets's calculate GCF of 515,9595
| 5 | 515, 9595 |
| 103, 1919 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 515,9595 By Matching Biggest Common Factor Method
Now, list down the factors of 515
:1,5,103,515
Now, list down the factors of 9595
:1,5,19,95,101,505,1919,9595
Greatest Common Factor
We found the factors 515,9595 . The biggest common factor number is the GCF number.
So the greatest common factor 515,9595 is 5.
Lets's calculate LCM of 718,298
| 2 | 718, 298 |
| 359, 149 |
∴ So the LCM of the given numbers is 2 x 359 x 149 = 106982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/106982
Therefore, the GCF of Fractions 515/718,9595/298 is 5/106982
Least Common Multiple of 718,298 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 718,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,298) x common factors =2 x 1 = 2
LCM(718,298) = ( 718 × 298 ) / 2
LCM(718,298) = 213964 / 2
LCM(718,298) = 106982
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FAQs on GCF of Fractions of 515/718, 9595/298
1. What is the HCF of 515,9595?
The HCF of 515,9595 is 5
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 515/718, 9595/298?
Answer: GCF of Numerators as per given numbers 515/718, 9595/298 is
GCF of Numerators i.e. for 515,9595 is 5
LCM of denominators i.e. for 718,298 is 106982.
Thus, GCF of Fractions is 5/106982.Finally, GCF of Fractions for 515/718, 9595/298 is 5/106982.