Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7156/214,1103/3868
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 7156,1103
Greatest Common Factor of Numerators i.e. GCF of 7156,1103 is 1 .
LCM of Denominators means LCM of 214,3868 as per the given fractions.
LCM of 214,3868 is 413876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7156,1103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7156
List of positive integer factors of 7156 that divides 7156 without a remainder.
1,2,4,1789,3578,7156
Factors of 1103
List of positive integer factors of 1103 that divides 1103 without a remainder.
1,1103
Greatest Common Factor
We found the factors 7156,1103 . The biggest common factor number is the GCF number.
So the greatest common factor 7156,1103 is 1.
Lets's calculate LCM of 214,3868
2 | 214, 3868 |
107, 1934 |
∴ So the LCM of the given numbers is 2 x 107 x 1934 = 413876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413876
Therefore, the GCF of Fractions 7156/214,1103/3868 is 1/413876
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 214,3868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,3868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,3868) x common factors =2 x 1 = 2
LCM(214,3868) = ( 214 × 3868 ) / 2
LCM(214,3868) = 827752 / 2
LCM(214,3868) = 413876
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 7156/214, 1103/3868?
Answer: GCF of Numerators as per given numbers 7156/214, 1103/3868 is
GCF of Numerators i.e. for 7156,1103 is 1
LCM of denominators i.e. for 214,3868 is 413876.
Thus, GCF of Fractions is 1/413876.Finally, GCF of Fractions for 7156/214, 1103/3868 is 1/413876.