Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2586/291,4922/3210
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 2586,4922
Greatest Common Factor of Numerators i.e. GCF of 2586,4922 is 2 .
LCM of Denominators means LCM of 291,3210 as per the given fractions.
LCM of 291,3210 is 311370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2586,4922
2 | 2586, 4922 |
1293, 2461 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2586
List of positive integer factors of 2586 that divides 2586 without a remainder.
1,2,3,6,431,862,1293,2586
Factors of 4922
List of positive integer factors of 4922 that divides 4922 without a remainder.
1,2,23,46,107,214,2461,4922
Greatest Common Factor
We found the factors 2586,4922 . The biggest common factor number is the GCF number.
So the greatest common factor 2586,4922 is 2.
Lets's calculate LCM of 291,3210
3 | 291, 3210 |
97, 1070 |
∴ So the LCM of the given numbers is 3 x 97 x 1070 = 311370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311370
Therefore, the GCF of Fractions 2586/291,4922/3210 is 2/311370
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 291,3210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,3210) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,3210) x common factors =3 x 1 = 3
LCM(291,3210) = ( 291 × 3210 ) / 3
LCM(291,3210) = 934110 / 3
LCM(291,3210) = 311370
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 2586/291, 4922/3210?
Answer: GCF of Numerators as per given numbers 2586/291, 4922/3210 is
GCF of Numerators i.e. for 2586,4922 is 2
LCM of denominators i.e. for 291,3210 is 311370.
Thus, GCF of Fractions is 2/311370.Finally, GCF of Fractions for 2586/291, 4922/3210 is 2/311370.