Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2373/173,9089/518
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 2373,9089
Greatest Common Factor of Numerators i.e. GCF of 2373,9089 is 1 .
LCM of Denominators means LCM of 173,518 as per the given fractions.
LCM of 173,518 is 89614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2373,9089
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1,3,7,21,113,339,791,2373
Factors of 9089
List of positive integer factors of 9089 that divides 9089 without a remainder.
1,61,149,9089
Greatest Common Factor
We found the factors 2373,9089 . The biggest common factor number is the GCF number.
So the greatest common factor 2373,9089 is 1.
Lets's calculate LCM of 173,518
Given numbers has no common factors except 1. So, there LCM is their product i.e 89614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89614
Therefore, the GCF of Fractions 2373/173,9089/518 is 1/89614
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 173,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,518) x common factors =1 x 1 = 1
LCM(173,518) = ( 173 × 518 ) / 1
LCM(173,518) = 89614 / 1
LCM(173,518) = 89614
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 2373/173, 9089/518?
Answer: GCF of Numerators as per given numbers 2373/173, 9089/518 is
GCF of Numerators i.e. for 2373,9089 is 1
LCM of denominators i.e. for 173,518 is 89614.
Thus, GCF of Fractions is 1/89614.Finally, GCF of Fractions for 2373/173, 9089/518 is 1/89614.