Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 327/773,2333/5167
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 327,2333
Greatest Common Factor of Numerators i.e. GCF of 327,2333 is 1 .
LCM of Denominators means LCM of 773,5167 as per the given fractions.
LCM of 773,5167 is 3994091 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 327,2333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 2333
List of positive integer factors of 2333 that divides 2333 without a remainder.
1,2333
Greatest Common Factor
We found the factors 327,2333 . The biggest common factor number is the GCF number.
So the greatest common factor 327,2333 is 1.
Lets's calculate LCM of 773,5167
Given numbers has no common factors except 1. So, there LCM is their product i.e 3994091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3994091
Therefore, the GCF of Fractions 327/773,2333/5167 is 1/3994091
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 773,5167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,5167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,5167) x common factors =1 x 1 = 1
LCM(773,5167) = ( 773 × 5167 ) / 1
LCM(773,5167) = 3994091 / 1
LCM(773,5167) = 3994091
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 327/773, 2333/5167?
Answer: GCF of Numerators as per given numbers 327/773, 2333/5167 is
GCF of Numerators i.e. for 327,2333 is 1
LCM of denominators i.e. for 773,5167 is 3994091.
Thus, GCF of Fractions is 1/3994091.Finally, GCF of Fractions for 327/773, 2333/5167 is 1/3994091.