GCF of 2517/511, 6242/4526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2517/511, 6242/4526 i.e 1/31682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2517/511, 6242/4526.
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 2517/511,6242/4526?
Given fractions are 2517/511,6242/4526
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 2517/511,6242/4526, numerators are 2517,6242
Denominators are 511,4526
The GCF of 2517,6242 is 1 .
LCM of 511,4526 is 31682.
The greatest common factor of 2517/511,6242/4526 = [GCF of 2517,6242]/[LCM of 511,4526]= 1/31682
Therefore, the GCF of 2517/511,6242/4526 is 1/31682.
To find the highest common factor of 2517,6242, we have to find the factors of both numbers and list the highest common factor.
The factors of 2517 are 1, 3, 839, 2517
The factors of 6242 are 1, 2, 3121, 6242
The HCF of 2517,6242 is 1.
Lets's calculate GCF of 2517,6242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2517,6242 By Matching Biggest Common Factor Method
Now, list down the factors of 2517
:1,3,839,2517
Now, list down the factors of 6242
:1,2,3121,6242
Greatest Common Factor
We found the factors 2517,6242 . The biggest common factor number is the GCF number.
So the greatest common factor 2517,6242 is 1.
Lets's calculate LCM of 511,4526
| 73 | 511, 4526 |
| 7, 62 |
∴ So the LCM of the given numbers is 73 x 7 x 62 = 31682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31682
Therefore, the GCF of Fractions 2517/511,6242/4526 is 1/31682
Least Common Multiple of 511,4526 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 511,4526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,4526) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(511,4526) x common factors =73 x 1 = 73
LCM(511,4526) = ( 511 × 4526 ) / 73
LCM(511,4526) = 2312786 / 73
LCM(511,4526) = 31682
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FAQs on GCF of Fractions of 2517/511, 6242/4526
1. What is the HCF of 2517,6242?
The HCF of 2517,6242 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 2517/511, 6242/4526?
Answer: GCF of Numerators as per given numbers 2517/511, 6242/4526 is
GCF of Numerators i.e. for 2517,6242 is 1
LCM of denominators i.e. for 511,4526 is 31682.
Thus, GCF of Fractions is 1/31682.Finally, GCF of Fractions for 2517/511, 6242/4526 is 1/31682.