Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9287/207,2868/2585
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 9287,2868
Greatest Common Factor of Numerators i.e. GCF of 9287,2868 is 1 .
LCM of Denominators means LCM of 207,2585 as per the given fractions.
LCM of 207,2585 is 535095 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9287,2868
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9287
List of positive integer factors of 9287 that divides 9287 without a remainder.
1,37,251,9287
Factors of 2868
List of positive integer factors of 2868 that divides 2868 without a remainder.
1,2,3,4,6,12,239,478,717,956,1434,2868
Greatest Common Factor
We found the factors 9287,2868 . The biggest common factor number is the GCF number.
So the greatest common factor 9287,2868 is 1.
Lets's calculate LCM of 207,2585
Given numbers has no common factors except 1. So, there LCM is their product i.e 535095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535095
Therefore, the GCF of Fractions 9287/207,2868/2585 is 1/535095
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 207,2585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,2585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,2585) x common factors =1 x 1 = 1
LCM(207,2585) = ( 207 × 2585 ) / 1
LCM(207,2585) = 535095 / 1
LCM(207,2585) = 535095
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 9287/207, 2868/2585?
Answer: GCF of Numerators as per given numbers 9287/207, 2868/2585 is
GCF of Numerators i.e. for 9287,2868 is 1
LCM of denominators i.e. for 207,2585 is 535095.
Thus, GCF of Fractions is 1/535095.Finally, GCF of Fractions for 9287/207, 2868/2585 is 1/535095.