Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7797/389,3886/533
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 7797,3886
Greatest Common Factor of Numerators i.e. GCF of 7797,3886 is 1 .
LCM of Denominators means LCM of 389,533 as per the given fractions.
LCM of 389,533 is 207337 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7797,3886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7797
List of positive integer factors of 7797 that divides 7797 without a remainder.
1,3,23,69,113,339,2599,7797
Factors of 3886
List of positive integer factors of 3886 that divides 3886 without a remainder.
1,2,29,58,67,134,1943,3886
Greatest Common Factor
We found the factors 7797,3886 . The biggest common factor number is the GCF number.
So the greatest common factor 7797,3886 is 1.
Lets's calculate LCM of 389,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 207337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207337
Therefore, the GCF of Fractions 7797/389,3886/533 is 1/207337
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 389,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,533) x common factors =1 x 1 = 1
LCM(389,533) = ( 389 × 533 ) / 1
LCM(389,533) = 207337 / 1
LCM(389,533) = 207337
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 7797/389, 3886/533?
Answer: GCF of Numerators as per given numbers 7797/389, 3886/533 is
GCF of Numerators i.e. for 7797,3886 is 1
LCM of denominators i.e. for 389,533 is 207337.
Thus, GCF of Fractions is 1/207337.Finally, GCF of Fractions for 7797/389, 3886/533 is 1/207337.