Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 586/459,6142/8454
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 586,6142
Greatest Common Factor of Numerators i.e. GCF of 586,6142 is 2 .
LCM of Denominators means LCM of 459,8454 as per the given fractions.
LCM of 459,8454 is 1293462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 586,6142
2 | 586, 6142 |
293, 3071 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 6142
List of positive integer factors of 6142 that divides 6142 without a remainder.
1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 586,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 586,6142 is 2.
Lets's calculate LCM of 459,8454
3 | 459, 8454 |
153, 2818 |
∴ So the LCM of the given numbers is 3 x 153 x 2818 = 1293462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1293462
Therefore, the GCF of Fractions 586/459,6142/8454 is 2/1293462
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 459,8454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,8454) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,8454) x common factors =3 x 1 = 3
LCM(459,8454) = ( 459 × 8454 ) / 3
LCM(459,8454) = 3880386 / 3
LCM(459,8454) = 1293462
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 586/459, 6142/8454?
Answer: GCF of Numerators as per given numbers 586/459, 6142/8454 is
GCF of Numerators i.e. for 586,6142 is 2
LCM of denominators i.e. for 459,8454 is 1293462.
Thus, GCF of Fractions is 2/1293462.Finally, GCF of Fractions for 586/459, 6142/8454 is 2/1293462.