Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2502/994,5908/6756
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2502,5908
Greatest Common Factor of Numerators i.e. GCF of 2502,5908 is 2 .
LCM of Denominators means LCM of 994,6756 as per the given fractions.
LCM of 994,6756 is 3357732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2502,5908
2 | 2502, 5908 |
1251, 2954 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2502
List of positive integer factors of 2502 that divides 2502 without a remainder.
1,2,3,6,9,18,139,278,417,834,1251,2502
Factors of 5908
List of positive integer factors of 5908 that divides 5908 without a remainder.
1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 2502,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 2502,5908 is 2.
Lets's calculate LCM of 994,6756
2 | 994, 6756 |
497, 3378 |
∴ So the LCM of the given numbers is 2 x 497 x 3378 = 3357732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3357732
Therefore, the GCF of Fractions 2502/994,5908/6756 is 2/3357732
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 994,6756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,6756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,6756) x common factors =2 x 1 = 2
LCM(994,6756) = ( 994 × 6756 ) / 2
LCM(994,6756) = 6715464 / 2
LCM(994,6756) = 3357732
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 2502/994, 5908/6756?
Answer: GCF of Numerators as per given numbers 2502/994, 5908/6756 is
GCF of Numerators i.e. for 2502,5908 is 2
LCM of denominators i.e. for 994,6756 is 3357732.
Thus, GCF of Fractions is 2/3357732.Finally, GCF of Fractions for 2502/994, 5908/6756 is 2/3357732.