Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2163/732,3057/249
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 2163,3057
Greatest Common Factor of Numerators i.e. GCF of 2163,3057 is 3 .
LCM of Denominators means LCM of 732,249 as per the given fractions.
LCM of 732,249 is 60756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2163,3057
3 | 2163, 3057 |
721, 1019 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1,3,7,21,103,309,721,2163
Factors of 3057
List of positive integer factors of 3057 that divides 3057 without a remainder.
1,3,1019,3057
Greatest Common Factor
We found the factors 2163,3057 . The biggest common factor number is the GCF number.
So the greatest common factor 2163,3057 is 3.
Lets's calculate LCM of 732,249
3 | 732, 249 |
244, 83 |
∴ So the LCM of the given numbers is 3 x 244 x 83 = 60756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60756
Therefore, the GCF of Fractions 2163/732,3057/249 is 3/60756
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 732,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(732,249) x common factors =3 x 1 = 3
LCM(732,249) = ( 732 × 249 ) / 3
LCM(732,249) = 182268 / 3
LCM(732,249) = 60756
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 2163/732, 3057/249?
Answer: GCF of Numerators as per given numbers 2163/732, 3057/249 is
GCF of Numerators i.e. for 2163,3057 is 3
LCM of denominators i.e. for 732,249 is 60756.
Thus, GCF of Fractions is 3/60756.Finally, GCF of Fractions for 2163/732, 3057/249 is 3/60756.