GCF of 2517/908, 9543/8966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2517/908, 9543/8966 i.e 3/4070564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2517/908, 9543/8966.
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 2517/908,9543/8966?
Given fractions are 2517/908,9543/8966
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 2517/908,9543/8966, numerators are 2517,9543
Denominators are 908,8966
The GCF of 2517,9543 is 3 .
LCM of 908,8966 is 4070564.
The greatest common factor of 2517/908,9543/8966 = [GCF of 2517,9543]/[LCM of 908,8966]= 3/4070564
Therefore, the GCF of 2517/908,9543/8966 is 3/4070564.
To find the highest common factor of 2517,9543, 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 9543 are 1, 3, 3181, 9543
The HCF of 2517,9543 is 3.
Lets's calculate GCF of 2517,9543
| 3 | 2517, 9543 |
| 839, 3181 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2517,9543 By Matching Biggest Common Factor Method
Now, list down the factors of 2517
:1,3,839,2517
Now, list down the factors of 9543
:1,3,3181,9543
Greatest Common Factor
We found the factors 2517,9543 . The biggest common factor number is the GCF number.
So the greatest common factor 2517,9543 is 3.
Lets's calculate LCM of 908,8966
| 2 | 908, 8966 |
| 454, 4483 |
∴ So the LCM of the given numbers is 2 x 454 x 4483 = 4070564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4070564
Therefore, the GCF of Fractions 2517/908,9543/8966 is 3/4070564
Least Common Multiple of 908,8966 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 908,8966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,8966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(908,8966) x common factors =2 x 1 = 2
LCM(908,8966) = ( 908 × 8966 ) / 2
LCM(908,8966) = 8141128 / 2
LCM(908,8966) = 4070564
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2517/908, 9543/8966
1. What is the HCF of 2517,9543?
The HCF of 2517,9543 is 3
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 2517/908, 9543/8966?
Answer: GCF of Numerators as per given numbers 2517/908, 9543/8966 is
GCF of Numerators i.e. for 2517,9543 is 3
LCM of denominators i.e. for 908,8966 is 4070564.
Thus, GCF of Fractions is 3/4070564.Finally, GCF of Fractions for 2517/908, 9543/8966 is 3/4070564.