Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3327/23,2899/877
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 3327,2899
Greatest Common Factor of Numerators i.e. GCF of 3327,2899 is 1 .
LCM of Denominators means LCM of 23,877 as per the given fractions.
LCM of 23,877 is 20171 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3327,2899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3327
List of positive integer factors of 3327 that divides 3327 without a remainder.
1,3,1109,3327
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1,13,223,2899
Greatest Common Factor
We found the factors 3327,2899 . The biggest common factor number is the GCF number.
So the greatest common factor 3327,2899 is 1.
Lets's calculate LCM of 23,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 20171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20171
Therefore, the GCF of Fractions 3327/23,2899/877 is 1/20171
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 23,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,877) x common factors =1 x 1 = 1
LCM(23,877) = ( 23 × 877 ) / 1
LCM(23,877) = 20171 / 1
LCM(23,877) = 20171
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 3327/23, 2899/877?
Answer: GCF of Numerators as per given numbers 3327/23, 2899/877 is
GCF of Numerators i.e. for 3327,2899 is 1
LCM of denominators i.e. for 23,877 is 20171.
Thus, GCF of Fractions is 1/20171.Finally, GCF of Fractions for 3327/23, 2899/877 is 1/20171.