Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6878/322,8959/7211
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 6878,8959
Greatest Common Factor of Numerators i.e. GCF of 6878,8959 is 1 .
LCM of Denominators means LCM of 322,7211 as per the given fractions.
LCM of 322,7211 is 2321942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6878,8959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6878
List of positive integer factors of 6878 that divides 6878 without a remainder.
1,2,19,38,181,362,3439,6878
Factors of 8959
List of positive integer factors of 8959 that divides 8959 without a remainder.
1,17,31,289,527,8959
Greatest Common Factor
We found the factors 6878,8959 . The biggest common factor number is the GCF number.
So the greatest common factor 6878,8959 is 1.
Lets's calculate LCM of 322,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 2321942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2321942
Therefore, the GCF of Fractions 6878/322,8959/7211 is 1/2321942
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 322,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,7211) x common factors =1 x 1 = 1
LCM(322,7211) = ( 322 × 7211 ) / 1
LCM(322,7211) = 2321942 / 1
LCM(322,7211) = 2321942
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 6878/322, 8959/7211?
Answer: GCF of Numerators as per given numbers 6878/322, 8959/7211 is
GCF of Numerators i.e. for 6878,8959 is 1
LCM of denominators i.e. for 322,7211 is 2321942.
Thus, GCF of Fractions is 1/2321942.Finally, GCF of Fractions for 6878/322, 8959/7211 is 1/2321942.