Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8478/491,6134/2389
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 8478,6134
Greatest Common Factor of Numerators i.e. GCF of 8478,6134 is 2 .
LCM of Denominators means LCM of 491,2389 as per the given fractions.
LCM of 491,2389 is 1172999 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8478,6134
2 | 8478, 6134 |
4239, 3067 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8478
List of positive integer factors of 8478 that divides 8478 without a remainder.
1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Factors of 6134
List of positive integer factors of 6134 that divides 6134 without a remainder.
1,2,3067,6134
Greatest Common Factor
We found the factors 8478,6134 . The biggest common factor number is the GCF number.
So the greatest common factor 8478,6134 is 2.
Lets's calculate LCM of 491,2389
Given numbers has no common factors except 1. So, there LCM is their product i.e 1172999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1172999
Therefore, the GCF of Fractions 8478/491,6134/2389 is 2/1172999
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 491,2389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,2389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,2389) x common factors =1 x 1 = 1
LCM(491,2389) = ( 491 × 2389 ) / 1
LCM(491,2389) = 1172999 / 1
LCM(491,2389) = 1172999
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 8478/491, 6134/2389?
Answer: GCF of Numerators as per given numbers 8478/491, 6134/2389 is
GCF of Numerators i.e. for 8478,6134 is 2
LCM of denominators i.e. for 491,2389 is 1172999.
Thus, GCF of Fractions is 2/1172999.Finally, GCF of Fractions for 8478/491, 6134/2389 is 2/1172999.