Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2517/341,6690/6934
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 2517,6690
Greatest Common Factor of Numerators i.e. GCF of 2517,6690 is 3 .
LCM of Denominators means LCM of 341,6934 as per the given fractions.
LCM of 341,6934 is 2364494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2517,6690
3 | 2517, 6690 |
839, 2230 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2517
List of positive integer factors of 2517 that divides 2517 without a remainder.
1,3,839,2517
Factors of 6690
List of positive integer factors of 6690 that divides 6690 without a remainder.
1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690
Greatest Common Factor
We found the factors 2517,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 2517,6690 is 3.
Lets's calculate LCM of 341,6934
Given numbers has no common factors except 1. So, there LCM is their product i.e 2364494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2364494
Therefore, the GCF of Fractions 2517/341,6690/6934 is 3/2364494
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 341,6934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,6934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,6934) x common factors =1 x 1 = 1
LCM(341,6934) = ( 341 × 6934 ) / 1
LCM(341,6934) = 2364494 / 1
LCM(341,6934) = 2364494
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 2517/341, 6690/6934?
Answer: GCF of Numerators as per given numbers 2517/341, 6690/6934 is
GCF of Numerators i.e. for 2517,6690 is 3
LCM of denominators i.e. for 341,6934 is 2364494.
Thus, GCF of Fractions is 3/2364494.Finally, GCF of Fractions for 2517/341, 6690/6934 is 3/2364494.