Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/108,2241/1296
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 457,2241
Greatest Common Factor of Numerators i.e. GCF of 457,2241 is 1 .
LCM of Denominators means LCM of 108,1296 as per the given fractions.
LCM of 108,1296 is 1296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,2241
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 2241
List of positive integer factors of 2241 that divides 2241 without a remainder.
1,3,9,27,83,249,747,2241
Greatest Common Factor
We found the factors 457,2241 . The biggest common factor number is the GCF number.
So the greatest common factor 457,2241 is 1.
Lets's calculate LCM of 108,1296
2 | 108, 1296 |
2 | 54, 648 |
3 | 27, 324 |
3 | 9, 108 |
3 | 3, 36 |
1, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 12 = 1296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1296
Therefore, the GCF of Fractions 457/108,2241/1296 is 1/1296
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 108,1296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,1296) = 108
common factors(in case of two or more numbers have common factors) = 1
GCF(108,1296) x common factors =108 x 1 = 108
LCM(108,1296) = ( 108 × 1296 ) / 108
LCM(108,1296) = 139968 / 108
LCM(108,1296) = 1296
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 457/108, 2241/1296?
Answer: GCF of Numerators as per given numbers 457/108, 2241/1296 is
GCF of Numerators i.e. for 457,2241 is 1
LCM of denominators i.e. for 108,1296 is 1296.
Thus, GCF of Fractions is 1/1296.Finally, GCF of Fractions for 457/108, 2241/1296 is 1/1296.