Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3928/607,9369/4743
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 3928,9369
Greatest Common Factor of Numerators i.e. GCF of 3928,9369 is 1 .
LCM of Denominators means LCM of 607,4743 as per the given fractions.
LCM of 607,4743 is 2879001 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3928,9369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3928
List of positive integer factors of 3928 that divides 3928 without a remainder.
1,2,4,8,491,982,1964,3928
Factors of 9369
List of positive integer factors of 9369 that divides 9369 without a remainder.
1,3,9,27,347,1041,3123,9369
Greatest Common Factor
We found the factors 3928,9369 . The biggest common factor number is the GCF number.
So the greatest common factor 3928,9369 is 1.
Lets's calculate LCM of 607,4743
Given numbers has no common factors except 1. So, there LCM is their product i.e 2879001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2879001
Therefore, the GCF of Fractions 3928/607,9369/4743 is 1/2879001
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 607,4743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,4743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,4743) x common factors =1 x 1 = 1
LCM(607,4743) = ( 607 × 4743 ) / 1
LCM(607,4743) = 2879001 / 1
LCM(607,4743) = 2879001
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 3928/607, 9369/4743?
Answer: GCF of Numerators as per given numbers 3928/607, 9369/4743 is
GCF of Numerators i.e. for 3928,9369 is 1
LCM of denominators i.e. for 607,4743 is 2879001.
Thus, GCF of Fractions is 1/2879001.Finally, GCF of Fractions for 3928/607, 9369/4743 is 1/2879001.