Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5978/334,1376/4795
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 5978,1376
Greatest Common Factor of Numerators i.e. GCF of 5978,1376 is 2 .
LCM of Denominators means LCM of 334,4795 as per the given fractions.
LCM of 334,4795 is 1601530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5978,1376
2 | 5978, 1376 |
2989, 688 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5978
List of positive integer factors of 5978 that divides 5978 without a remainder.
1,2,7,14,49,61,98,122,427,854,2989,5978
Factors of 1376
List of positive integer factors of 1376 that divides 1376 without a remainder.
1,2,4,8,16,32,43,86,172,344,688,1376
Greatest Common Factor
We found the factors 5978,1376 . The biggest common factor number is the GCF number.
So the greatest common factor 5978,1376 is 2.
Lets's calculate LCM of 334,4795
Given numbers has no common factors except 1. So, there LCM is their product i.e 1601530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1601530
Therefore, the GCF of Fractions 5978/334,1376/4795 is 2/1601530
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 334,4795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,4795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,4795) x common factors =1 x 1 = 1
LCM(334,4795) = ( 334 × 4795 ) / 1
LCM(334,4795) = 1601530 / 1
LCM(334,4795) = 1601530
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 5978/334, 1376/4795?
Answer: GCF of Numerators as per given numbers 5978/334, 1376/4795 is
GCF of Numerators i.e. for 5978,1376 is 2
LCM of denominators i.e. for 334,4795 is 1601530.
Thus, GCF of Fractions is 2/1601530.Finally, GCF of Fractions for 5978/334, 1376/4795 is 2/1601530.