Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8311/638,3709/9957
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 8311,3709
Greatest Common Factor of Numerators i.e. GCF of 8311,3709 is 1 .
LCM of Denominators means LCM of 638,9957 as per the given fractions.
LCM of 638,9957 is 6352566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8311,3709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8311
List of positive integer factors of 8311 that divides 8311 without a remainder.
1,8311
Factors of 3709
List of positive integer factors of 3709 that divides 3709 without a remainder.
1,3709
Greatest Common Factor
We found the factors 8311,3709 . The biggest common factor number is the GCF number.
So the greatest common factor 8311,3709 is 1.
Lets's calculate LCM of 638,9957
Given numbers has no common factors except 1. So, there LCM is their product i.e 6352566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6352566
Therefore, the GCF of Fractions 8311/638,3709/9957 is 1/6352566
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 638,9957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,9957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,9957) x common factors =1 x 1 = 1
LCM(638,9957) = ( 638 × 9957 ) / 1
LCM(638,9957) = 6352566 / 1
LCM(638,9957) = 6352566
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 8311/638, 3709/9957?
Answer: GCF of Numerators as per given numbers 8311/638, 3709/9957 is
GCF of Numerators i.e. for 8311,3709 is 1
LCM of denominators i.e. for 638,9957 is 6352566.
Thus, GCF of Fractions is 1/6352566.Finally, GCF of Fractions for 8311/638, 3709/9957 is 1/6352566.