Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4610/89,4137/887
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 4610,4137
Greatest Common Factor of Numerators i.e. GCF of 4610,4137 is 1 .
LCM of Denominators means LCM of 89,887 as per the given fractions.
LCM of 89,887 is 78943 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4610,4137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4610
List of positive integer factors of 4610 that divides 4610 without a remainder.
1,2,5,10,461,922,2305,4610
Factors of 4137
List of positive integer factors of 4137 that divides 4137 without a remainder.
1,3,7,21,197,591,1379,4137
Greatest Common Factor
We found the factors 4610,4137 . The biggest common factor number is the GCF number.
So the greatest common factor 4610,4137 is 1.
Lets's calculate LCM of 89,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 78943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78943
Therefore, the GCF of Fractions 4610/89,4137/887 is 1/78943
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 89,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,887) x common factors =1 x 1 = 1
LCM(89,887) = ( 89 × 887 ) / 1
LCM(89,887) = 78943 / 1
LCM(89,887) = 78943
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 4610/89, 4137/887?
Answer: GCF of Numerators as per given numbers 4610/89, 4137/887 is
GCF of Numerators i.e. for 4610,4137 is 1
LCM of denominators i.e. for 89,887 is 78943.
Thus, GCF of Fractions is 1/78943.Finally, GCF of Fractions for 4610/89, 4137/887 is 1/78943.