Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5116/927,6108/993
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 5116,6108
Greatest Common Factor of Numerators i.e. GCF of 5116,6108 is 4 .
LCM of Denominators means LCM of 927,993 as per the given fractions.
LCM of 927,993 is 306837 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5116,6108
2 | 5116, 6108 |
2 | 2558, 3054 |
1279, 1527 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5116
List of positive integer factors of 5116 that divides 5116 without a remainder.
1,2,4,1279,2558,5116
Factors of 6108
List of positive integer factors of 6108 that divides 6108 without a remainder.
1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Greatest Common Factor
We found the factors 5116,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 5116,6108 is 4.
Lets's calculate LCM of 927,993
3 | 927, 993 |
309, 331 |
∴ So the LCM of the given numbers is 3 x 309 x 331 = 306837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/306837
Therefore, the GCF of Fractions 5116/927,6108/993 is 4/306837
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 927,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,993) x common factors =3 x 1 = 3
LCM(927,993) = ( 927 × 993 ) / 3
LCM(927,993) = 920511 / 3
LCM(927,993) = 306837
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 5116/927, 6108/993?
Answer: GCF of Numerators as per given numbers 5116/927, 6108/993 is
GCF of Numerators i.e. for 5116,6108 is 4
LCM of denominators i.e. for 927,993 is 306837.
Thus, GCF of Fractions is 4/306837.Finally, GCF of Fractions for 5116/927, 6108/993 is 4/306837.