Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3118/584,6923/7099
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 3118,6923
Greatest Common Factor of Numerators i.e. GCF of 3118,6923 is 1 .
LCM of Denominators means LCM of 584,7099 as per the given fractions.
LCM of 584,7099 is 4145816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3118,6923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3118
List of positive integer factors of 3118 that divides 3118 without a remainder.
1,2,1559,3118
Factors of 6923
List of positive integer factors of 6923 that divides 6923 without a remainder.
1,7,23,43,161,301,989,6923
Greatest Common Factor
We found the factors 3118,6923 . The biggest common factor number is the GCF number.
So the greatest common factor 3118,6923 is 1.
Lets's calculate LCM of 584,7099
Given numbers has no common factors except 1. So, there LCM is their product i.e 4145816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4145816
Therefore, the GCF of Fractions 3118/584,6923/7099 is 1/4145816
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 584,7099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,7099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,7099) x common factors =1 x 1 = 1
LCM(584,7099) = ( 584 × 7099 ) / 1
LCM(584,7099) = 4145816 / 1
LCM(584,7099) = 4145816
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 3118/584, 6923/7099?
Answer: GCF of Numerators as per given numbers 3118/584, 6923/7099 is
GCF of Numerators i.e. for 3118,6923 is 1
LCM of denominators i.e. for 584,7099 is 4145816.
Thus, GCF of Fractions is 1/4145816.Finally, GCF of Fractions for 3118/584, 6923/7099 is 1/4145816.