Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6867/875,7736/6820
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 6867,7736
Greatest Common Factor of Numerators i.e. GCF of 6867,7736 is 1 .
LCM of Denominators means LCM of 875,6820 as per the given fractions.
LCM of 875,6820 is 1193500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6867,7736
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6867
List of positive integer factors of 6867 that divides 6867 without a remainder.
1,3,7,9,21,63,109,327,763,981,2289,6867
Factors of 7736
List of positive integer factors of 7736 that divides 7736 without a remainder.
1,2,4,8,967,1934,3868,7736
Greatest Common Factor
We found the factors 6867,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 6867,7736 is 1.
Lets's calculate LCM of 875,6820
5 | 875, 6820 |
175, 1364 |
∴ So the LCM of the given numbers is 5 x 175 x 1364 = 1193500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1193500
Therefore, the GCF of Fractions 6867/875,7736/6820 is 1/1193500
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 875,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,6820) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(875,6820) x common factors =5 x 1 = 5
LCM(875,6820) = ( 875 × 6820 ) / 5
LCM(875,6820) = 5967500 / 5
LCM(875,6820) = 1193500
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 6867/875, 7736/6820?
Answer: GCF of Numerators as per given numbers 6867/875, 7736/6820 is
GCF of Numerators i.e. for 6867,7736 is 1
LCM of denominators i.e. for 875,6820 is 1193500.
Thus, GCF of Fractions is 1/1193500.Finally, GCF of Fractions for 6867/875, 7736/6820 is 1/1193500.