Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9937/212,7114/3886
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 9937,7114
Greatest Common Factor of Numerators i.e. GCF of 9937,7114 is 1 .
LCM of Denominators means LCM of 212,3886 as per the given fractions.
LCM of 212,3886 is 411916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9937,7114
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9937
List of positive integer factors of 9937 that divides 9937 without a remainder.
1,19,523,9937
Factors of 7114
List of positive integer factors of 7114 that divides 7114 without a remainder.
1,2,3557,7114
Greatest Common Factor
We found the factors 9937,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 9937,7114 is 1.
Lets's calculate LCM of 212,3886
2 | 212, 3886 |
106, 1943 |
∴ So the LCM of the given numbers is 2 x 106 x 1943 = 411916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411916
Therefore, the GCF of Fractions 9937/212,7114/3886 is 1/411916
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 212,3886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,3886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,3886) x common factors =2 x 1 = 2
LCM(212,3886) = ( 212 × 3886 ) / 2
LCM(212,3886) = 823832 / 2
LCM(212,3886) = 411916
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 9937/212, 7114/3886?
Answer: GCF of Numerators as per given numbers 9937/212, 7114/3886 is
GCF of Numerators i.e. for 9937,7114 is 1
LCM of denominators i.e. for 212,3886 is 411916.
Thus, GCF of Fractions is 1/411916.Finally, GCF of Fractions for 9937/212, 7114/3886 is 1/411916.