Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7995/335,4943/5886
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 7995,4943
Greatest Common Factor of Numerators i.e. GCF of 7995,4943 is 1 .
LCM of Denominators means LCM of 335,5886 as per the given fractions.
LCM of 335,5886 is 1971810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7995,4943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7995
List of positive integer factors of 7995 that divides 7995 without a remainder.
1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995
Factors of 4943
List of positive integer factors of 4943 that divides 4943 without a remainder.
1,4943
Greatest Common Factor
We found the factors 7995,4943 . The biggest common factor number is the GCF number.
So the greatest common factor 7995,4943 is 1.
Lets's calculate LCM of 335,5886
Given numbers has no common factors except 1. So, there LCM is their product i.e 1971810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1971810
Therefore, the GCF of Fractions 7995/335,4943/5886 is 1/1971810
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 335,5886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,5886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,5886) x common factors =1 x 1 = 1
LCM(335,5886) = ( 335 × 5886 ) / 1
LCM(335,5886) = 1971810 / 1
LCM(335,5886) = 1971810
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 7995/335, 4943/5886?
Answer: GCF of Numerators as per given numbers 7995/335, 4943/5886 is
GCF of Numerators i.e. for 7995,4943 is 1
LCM of denominators i.e. for 335,5886 is 1971810.
Thus, GCF of Fractions is 1/1971810.Finally, GCF of Fractions for 7995/335, 4943/5886 is 1/1971810.