Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/523,9939/2426
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 886,9939
Greatest Common Factor of Numerators i.e. GCF of 886,9939 is 1 .
LCM of Denominators means LCM of 523,2426 as per the given fractions.
LCM of 523,2426 is 1268798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,9939
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1,3,3313,9939
Greatest Common Factor
We found the factors 886,9939 . The biggest common factor number is the GCF number.
So the greatest common factor 886,9939 is 1.
Lets's calculate LCM of 523,2426
Given numbers has no common factors except 1. So, there LCM is their product i.e 1268798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1268798
Therefore, the GCF of Fractions 886/523,9939/2426 is 1/1268798
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 523,2426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,2426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,2426) x common factors =1 x 1 = 1
LCM(523,2426) = ( 523 × 2426 ) / 1
LCM(523,2426) = 1268798 / 1
LCM(523,2426) = 1268798
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 886/523, 9939/2426?
Answer: GCF of Numerators as per given numbers 886/523, 9939/2426 is
GCF of Numerators i.e. for 886,9939 is 1
LCM of denominators i.e. for 523,2426 is 1268798.
Thus, GCF of Fractions is 1/1268798.Finally, GCF of Fractions for 886/523, 9939/2426 is 1/1268798.