GCF of 515/208, 8050/9732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 515/208, 8050/9732 i.e 5/506064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/208, 8050/9732.
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 515/208,8050/9732?
Given fractions are 515/208,8050/9732
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 515/208,8050/9732, numerators are 515,8050
Denominators are 208,9732
The GCF of 515,8050 is 5 .
LCM of 208,9732 is 506064.
The greatest common factor of 515/208,8050/9732 = [GCF of 515,8050]/[LCM of 208,9732]= 5/506064
Therefore, the GCF of 515/208,8050/9732 is 5/506064.
To find the highest common factor of 515,8050, 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 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
The HCF of 515,8050 is 5.
Lets's calculate GCF of 515,8050
| 5 | 515, 8050 |
| 103, 1610 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 515,8050 By Matching Biggest Common Factor Method
Now, list down the factors of 515
:1,5,103,515
Now, list down the factors of 8050
:1,2,5,7,10,14,23,25,35,46,50,70,115,161,175,230,322,350,575,805,1150,1610,4025,8050
Greatest Common Factor
We found the factors 515,8050 . The biggest common factor number is the GCF number.
So the greatest common factor 515,8050 is 5.
Lets's calculate LCM of 208,9732
| 2 | 208, 9732 |
| 2 | 104, 4866 |
| 52, 2433 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 2433 = 506064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/506064
Therefore, the GCF of Fractions 515/208,8050/9732 is 5/506064
Least Common Multiple of 208,9732 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 208,9732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,9732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,9732) x common factors =4 x 1 = 4
LCM(208,9732) = ( 208 × 9732 ) / 4
LCM(208,9732) = 2024256 / 4
LCM(208,9732) = 506064
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FAQs on GCF of Fractions of 515/208, 8050/9732
1. What is the HCF of 515,8050?
The HCF of 515,8050 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 515/208, 8050/9732?
Answer: GCF of Numerators as per given numbers 515/208, 8050/9732 is
GCF of Numerators i.e. for 515,8050 is 5
LCM of denominators i.e. for 208,9732 is 506064.
Thus, GCF of Fractions is 5/506064.Finally, GCF of Fractions for 515/208, 8050/9732 is 5/506064.