Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9331/588,9494/937
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 9331,9494
Greatest Common Factor of Numerators i.e. GCF of 9331,9494 is 1 .
LCM of Denominators means LCM of 588,937 as per the given fractions.
LCM of 588,937 is 550956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9331,9494
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9331
List of positive integer factors of 9331 that divides 9331 without a remainder.
1,7,31,43,217,301,1333,9331
Factors of 9494
List of positive integer factors of 9494 that divides 9494 without a remainder.
1,2,47,94,101,202,4747,9494
Greatest Common Factor
We found the factors 9331,9494 . The biggest common factor number is the GCF number.
So the greatest common factor 9331,9494 is 1.
Lets's calculate LCM of 588,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 550956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550956
Therefore, the GCF of Fractions 9331/588,9494/937 is 1/550956
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 588,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,937) x common factors =1 x 1 = 1
LCM(588,937) = ( 588 × 937 ) / 1
LCM(588,937) = 550956 / 1
LCM(588,937) = 550956
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 9331/588, 9494/937?
Answer: GCF of Numerators as per given numbers 9331/588, 9494/937 is
GCF of Numerators i.e. for 9331,9494 is 1
LCM of denominators i.e. for 588,937 is 550956.
Thus, GCF of Fractions is 1/550956.Finally, GCF of Fractions for 9331/588, 9494/937 is 1/550956.