Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3242/313,2119/3637
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 3242,2119
Greatest Common Factor of Numerators i.e. GCF of 3242,2119 is 1 .
LCM of Denominators means LCM of 313,3637 as per the given fractions.
LCM of 313,3637 is 1138381 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3242,2119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3242
List of positive integer factors of 3242 that divides 3242 without a remainder.
1,2,1621,3242
Factors of 2119
List of positive integer factors of 2119 that divides 2119 without a remainder.
1,13,163,2119
Greatest Common Factor
We found the factors 3242,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 3242,2119 is 1.
Lets's calculate LCM of 313,3637
Given numbers has no common factors except 1. So, there LCM is their product i.e 1138381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1138381
Therefore, the GCF of Fractions 3242/313,2119/3637 is 1/1138381
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 313,3637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,3637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,3637) x common factors =1 x 1 = 1
LCM(313,3637) = ( 313 × 3637 ) / 1
LCM(313,3637) = 1138381 / 1
LCM(313,3637) = 1138381
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 3242/313, 2119/3637?
Answer: GCF of Numerators as per given numbers 3242/313, 2119/3637 is
GCF of Numerators i.e. for 3242,2119 is 1
LCM of denominators i.e. for 313,3637 is 1138381.
Thus, GCF of Fractions is 1/1138381.Finally, GCF of Fractions for 3242/313, 2119/3637 is 1/1138381.