Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 739/287,9427/2517
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 739,9427
Greatest Common Factor of Numerators i.e. GCF of 739,9427 is 1 .
LCM of Denominators means LCM of 287,2517 as per the given fractions.
LCM of 287,2517 is 722379 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 739,9427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1,11,857,9427
Greatest Common Factor
We found the factors 739,9427 . The biggest common factor number is the GCF number.
So the greatest common factor 739,9427 is 1.
Lets's calculate LCM of 287,2517
Given numbers has no common factors except 1. So, there LCM is their product i.e 722379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722379
Therefore, the GCF of Fractions 739/287,9427/2517 is 1/722379
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 287,2517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,2517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,2517) x common factors =1 x 1 = 1
LCM(287,2517) = ( 287 × 2517 ) / 1
LCM(287,2517) = 722379 / 1
LCM(287,2517) = 722379
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 739/287, 9427/2517?
Answer: GCF of Numerators as per given numbers 739/287, 9427/2517 is
GCF of Numerators i.e. for 739,9427 is 1
LCM of denominators i.e. for 287,2517 is 722379.
Thus, GCF of Fractions is 1/722379.Finally, GCF of Fractions for 739/287, 9427/2517 is 1/722379.