Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7913/907,9358/372
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 7913,9358
Greatest Common Factor of Numerators i.e. GCF of 7913,9358 is 1 .
LCM of Denominators means LCM of 907,372 as per the given fractions.
LCM of 907,372 is 337404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7913,9358
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7913
List of positive integer factors of 7913 that divides 7913 without a remainder.
1,41,193,7913
Factors of 9358
List of positive integer factors of 9358 that divides 9358 without a remainder.
1,2,4679,9358
Greatest Common Factor
We found the factors 7913,9358 . The biggest common factor number is the GCF number.
So the greatest common factor 7913,9358 is 1.
Lets's calculate LCM of 907,372
Given numbers has no common factors except 1. So, there LCM is their product i.e 337404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337404
Therefore, the GCF of Fractions 7913/907,9358/372 is 1/337404
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 907,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,372) x common factors =1 x 1 = 1
LCM(907,372) = ( 907 × 372 ) / 1
LCM(907,372) = 337404 / 1
LCM(907,372) = 337404
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 7913/907, 9358/372?
Answer: GCF of Numerators as per given numbers 7913/907, 9358/372 is
GCF of Numerators i.e. for 7913,9358 is 1
LCM of denominators i.e. for 907,372 is 337404.
Thus, GCF of Fractions is 1/337404.Finally, GCF of Fractions for 7913/907, 9358/372 is 1/337404.