Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6296/138,3894/7966
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 6296,3894
Greatest Common Factor of Numerators i.e. GCF of 6296,3894 is 2 .
LCM of Denominators means LCM of 138,7966 as per the given fractions.
LCM of 138,7966 is 549654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6296,3894
2 | 6296, 3894 |
3148, 1947 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6296
List of positive integer factors of 6296 that divides 6296 without a remainder.
1,2,4,8,787,1574,3148,6296
Factors of 3894
List of positive integer factors of 3894 that divides 3894 without a remainder.
1,2,3,6,11,22,33,59,66,118,177,354,649,1298,1947,3894
Greatest Common Factor
We found the factors 6296,3894 . The biggest common factor number is the GCF number.
So the greatest common factor 6296,3894 is 2.
Lets's calculate LCM of 138,7966
2 | 138, 7966 |
69, 3983 |
∴ So the LCM of the given numbers is 2 x 69 x 3983 = 549654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/549654
Therefore, the GCF of Fractions 6296/138,3894/7966 is 2/549654
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 138,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,7966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,7966) x common factors =2 x 1 = 2
LCM(138,7966) = ( 138 × 7966 ) / 2
LCM(138,7966) = 1099308 / 2
LCM(138,7966) = 549654
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 6296/138, 3894/7966?
Answer: GCF of Numerators as per given numbers 6296/138, 3894/7966 is
GCF of Numerators i.e. for 6296,3894 is 2
LCM of denominators i.e. for 138,7966 is 549654.
Thus, GCF of Fractions is 2/549654.Finally, GCF of Fractions for 6296/138, 3894/7966 is 2/549654.