Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6815/618,4833/2842
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 6815,4833
Greatest Common Factor of Numerators i.e. GCF of 6815,4833 is 1 .
LCM of Denominators means LCM of 618,2842 as per the given fractions.
LCM of 618,2842 is 878178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6815,4833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6815
List of positive integer factors of 6815 that divides 6815 without a remainder.
1,5,29,47,145,235,1363,6815
Factors of 4833
List of positive integer factors of 4833 that divides 4833 without a remainder.
1,3,9,27,179,537,1611,4833
Greatest Common Factor
We found the factors 6815,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 6815,4833 is 1.
Lets's calculate LCM of 618,2842
2 | 618, 2842 |
309, 1421 |
∴ So the LCM of the given numbers is 2 x 309 x 1421 = 878178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/878178
Therefore, the GCF of Fractions 6815/618,4833/2842 is 1/878178
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 618,2842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,2842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,2842) x common factors =2 x 1 = 2
LCM(618,2842) = ( 618 × 2842 ) / 2
LCM(618,2842) = 1756356 / 2
LCM(618,2842) = 878178
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 6815/618, 4833/2842?
Answer: GCF of Numerators as per given numbers 6815/618, 4833/2842 is
GCF of Numerators i.e. for 6815,4833 is 1
LCM of denominators i.e. for 618,2842 is 878178.
Thus, GCF of Fractions is 1/878178.Finally, GCF of Fractions for 6815/618, 4833/2842 is 1/878178.