Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 337/18,951/39,998/268
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 337,951,998
Greatest Common Factor of Numerators i.e. GCF of 337,951,998 is 1 .
LCM of Denominators means LCM of 18,39,268 as per the given fractions.
LCM of 18,39,268 is 31356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 337,951,998
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 337,951,998 . The biggest common factor number is the GCF number.
So the greatest common factor 337,951,998 is 1.
Lets's calculate LCM of 18,39,268
2 | 18, 39, 268 |
3 | 9, 39, 134 |
3, 13, 134 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 134 = 31356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31356
Therefore, the GCF of Fractions 337/18,951/39,998/268 is 1/31356
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 18,39,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,39,268) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,39,268) x common factors =1 x 6 = 6
LCM(18,39,268) = ( 18 × 39 × 268 ) / 6
LCM(18,39,268) = 188136 / 6
LCM(18,39,268) = 31356
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 337/18, 951/39, 998/268?
Answer: GCF of Numerators as per given numbers 337/18, 951/39, 998/268 is
GCF of Numerators i.e. for 337,951,998 is 1
LCM of denominators i.e. for 18,39,268 is 31356.
Thus, GCF of Fractions is 1/31356.Finally, GCF of Fractions for 337/18, 951/39, 998/268 is 1/31356.