Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9301/327,9160/6680
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 9301,9160
Greatest Common Factor of Numerators i.e. GCF of 9301,9160 is 1 .
LCM of Denominators means LCM of 327,6680 as per the given fractions.
LCM of 327,6680 is 2184360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9301,9160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9301
List of positive integer factors of 9301 that divides 9301 without a remainder.
1,71,131,9301
Factors of 9160
List of positive integer factors of 9160 that divides 9160 without a remainder.
1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Greatest Common Factor
We found the factors 9301,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 9301,9160 is 1.
Lets's calculate LCM of 327,6680
Given numbers has no common factors except 1. So, there LCM is their product i.e 2184360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2184360
Therefore, the GCF of Fractions 9301/327,9160/6680 is 1/2184360
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 327,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,6680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,6680) x common factors =1 x 1 = 1
LCM(327,6680) = ( 327 × 6680 ) / 1
LCM(327,6680) = 2184360 / 1
LCM(327,6680) = 2184360
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 9301/327, 9160/6680?
Answer: GCF of Numerators as per given numbers 9301/327, 9160/6680 is
GCF of Numerators i.e. for 9301,9160 is 1
LCM of denominators i.e. for 327,6680 is 2184360.
Thus, GCF of Fractions is 1/2184360.Finally, GCF of Fractions for 9301/327, 9160/6680 is 1/2184360.