Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9379/591,7955/4831
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 9379,7955
Greatest Common Factor of Numerators i.e. GCF of 9379,7955 is 1 .
LCM of Denominators means LCM of 591,4831 as per the given fractions.
LCM of 591,4831 is 2855121 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9379,7955
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9379
List of positive integer factors of 9379 that divides 9379 without a remainder.
1,83,113,9379
Factors of 7955
List of positive integer factors of 7955 that divides 7955 without a remainder.
1,5,37,43,185,215,1591,7955
Greatest Common Factor
We found the factors 9379,7955 . The biggest common factor number is the GCF number.
So the greatest common factor 9379,7955 is 1.
Lets's calculate LCM of 591,4831
Given numbers has no common factors except 1. So, there LCM is their product i.e 2855121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855121
Therefore, the GCF of Fractions 9379/591,7955/4831 is 1/2855121
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 591,4831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,4831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,4831) x common factors =1 x 1 = 1
LCM(591,4831) = ( 591 × 4831 ) / 1
LCM(591,4831) = 2855121 / 1
LCM(591,4831) = 2855121
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 9379/591, 7955/4831?
Answer: GCF of Numerators as per given numbers 9379/591, 7955/4831 is
GCF of Numerators i.e. for 9379,7955 is 1
LCM of denominators i.e. for 591,4831 is 2855121.
Thus, GCF of Fractions is 1/2855121.Finally, GCF of Fractions for 9379/591, 7955/4831 is 1/2855121.