Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/9367,458/5891
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 594,458
Greatest Common Factor of Numerators i.e. GCF of 594,458 is 2 .
LCM of Denominators means LCM of 9367,5891 as per the given fractions.
LCM of 9367,5891 is 55180997 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,458
2 | 594, 458 |
297, 229 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 594,458 . The biggest common factor number is the GCF number.
So the greatest common factor 594,458 is 2.
Lets's calculate LCM of 9367,5891
Given numbers has no common factors except 1. So, there LCM is their product i.e 55180997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55180997
Therefore, the GCF of Fractions 594/9367,458/5891 is 2/55180997
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 9367,5891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9367,5891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9367,5891) x common factors =1 x 1 = 1
LCM(9367,5891) = ( 9367 × 5891 ) / 1
LCM(9367,5891) = 55180997 / 1
LCM(9367,5891) = 55180997
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 594/9367, 458/5891?
Answer: GCF of Numerators as per given numbers 594/9367, 458/5891 is
GCF of Numerators i.e. for 594,458 is 2
LCM of denominators i.e. for 9367,5891 is 55180997.
Thus, GCF of Fractions is 2/55180997.Finally, GCF of Fractions for 594/9367, 458/5891 is 2/55180997.