Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4938/876,3662/8854
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 4938,3662
Greatest Common Factor of Numerators i.e. GCF of 4938,3662 is 2 .
LCM of Denominators means LCM of 876,8854 as per the given fractions.
LCM of 876,8854 is 3878052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4938,3662
2 | 4938, 3662 |
2469, 1831 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4938
List of positive integer factors of 4938 that divides 4938 without a remainder.
1,2,3,6,823,1646,2469,4938
Factors of 3662
List of positive integer factors of 3662 that divides 3662 without a remainder.
1,2,1831,3662
Greatest Common Factor
We found the factors 4938,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 4938,3662 is 2.
Lets's calculate LCM of 876,8854
2 | 876, 8854 |
438, 4427 |
∴ So the LCM of the given numbers is 2 x 438 x 4427 = 3878052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3878052
Therefore, the GCF of Fractions 4938/876,3662/8854 is 2/3878052
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 876,8854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,8854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,8854) x common factors =2 x 1 = 2
LCM(876,8854) = ( 876 × 8854 ) / 2
LCM(876,8854) = 7756104 / 2
LCM(876,8854) = 3878052
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 4938/876, 3662/8854?
Answer: GCF of Numerators as per given numbers 4938/876, 3662/8854 is
GCF of Numerators i.e. for 4938,3662 is 2
LCM of denominators i.e. for 876,8854 is 3878052.
Thus, GCF of Fractions is 2/3878052.Finally, GCF of Fractions for 4938/876, 3662/8854 is 2/3878052.