Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8079/694,7876/8967
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 8079,7876
Greatest Common Factor of Numerators i.e. GCF of 8079,7876 is 1 .
LCM of Denominators means LCM of 694,8967 as per the given fractions.
LCM of 694,8967 is 6223098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8079,7876
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8079
List of positive integer factors of 8079 that divides 8079 without a remainder.
1,3,2693,8079
Factors of 7876
List of positive integer factors of 7876 that divides 7876 without a remainder.
1,2,4,11,22,44,179,358,716,1969,3938,7876
Greatest Common Factor
We found the factors 8079,7876 . The biggest common factor number is the GCF number.
So the greatest common factor 8079,7876 is 1.
Lets's calculate LCM of 694,8967
Given numbers has no common factors except 1. So, there LCM is their product i.e 6223098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6223098
Therefore, the GCF of Fractions 8079/694,7876/8967 is 1/6223098
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 694,8967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,8967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,8967) x common factors =1 x 1 = 1
LCM(694,8967) = ( 694 × 8967 ) / 1
LCM(694,8967) = 6223098 / 1
LCM(694,8967) = 6223098
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 8079/694, 7876/8967?
Answer: GCF of Numerators as per given numbers 8079/694, 7876/8967 is
GCF of Numerators i.e. for 8079,7876 is 1
LCM of denominators i.e. for 694,8967 is 6223098.
Thus, GCF of Fractions is 1/6223098.Finally, GCF of Fractions for 8079/694, 7876/8967 is 1/6223098.