Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6694/861,3942/6150
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 6694,3942
Greatest Common Factor of Numerators i.e. GCF of 6694,3942 is 2 .
LCM of Denominators means LCM of 861,6150 as per the given fractions.
LCM of 861,6150 is 43050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6694,3942
2 | 6694, 3942 |
3347, 1971 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6694
List of positive integer factors of 6694 that divides 6694 without a remainder.
1,2,3347,6694
Factors of 3942
List of positive integer factors of 3942 that divides 3942 without a remainder.
1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Greatest Common Factor
We found the factors 6694,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 6694,3942 is 2.
Lets's calculate LCM of 861,6150
3 | 861, 6150 |
41 | 287, 2050 |
7, 50 |
∴ So the LCM of the given numbers is 3 x 41 x 7 x 50 = 43050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43050
Therefore, the GCF of Fractions 6694/861,3942/6150 is 2/43050
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 861,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,6150) = 123
common factors(in case of two or more numbers have common factors) = 1
GCF(861,6150) x common factors =123 x 1 = 123
LCM(861,6150) = ( 861 × 6150 ) / 123
LCM(861,6150) = 5295150 / 123
LCM(861,6150) = 43050
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 6694/861, 3942/6150?
Answer: GCF of Numerators as per given numbers 6694/861, 3942/6150 is
GCF of Numerators i.e. for 6694,3942 is 2
LCM of denominators i.e. for 861,6150 is 43050.
Thus, GCF of Fractions is 2/43050.Finally, GCF of Fractions for 6694/861, 3942/6150 is 2/43050.