Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/518,44/378,100/243
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 57,44,100
Greatest Common Factor of Numerators i.e. GCF of 57,44,100 is 1 .
LCM of Denominators means LCM of 518,378,243 as per the given fractions.
LCM of 518,378,243 is 125874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,44,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 57,44,100 . The biggest common factor number is the GCF number.
So the greatest common factor 57,44,100 is 1.
Lets's calculate LCM of 518,378,243
2 | 518, 378, 243 |
3 | 259, 189, 243 |
3 | 259, 63, 81 |
3 | 259, 21, 27 |
7 | 259, 7, 9 |
37, 1, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 37 x 1 x 9 = 125874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125874
Therefore, the GCF of Fractions 57/518,44/378,100/243 is 1/125874
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 518,378,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,378,243) = 1
common factors(in case of two or more numbers have common factors) = 378
GCF(518,378,243) x common factors =1 x 378 = 378
LCM(518,378,243) = ( 518 × 378 × 243 ) / 378
LCM(518,378,243) = 47580372 / 378
LCM(518,378,243) = 125874
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 57/518, 44/378, 100/243?
Answer: GCF of Numerators as per given numbers 57/518, 44/378, 100/243 is
GCF of Numerators i.e. for 57,44,100 is 1
LCM of denominators i.e. for 518,378,243 is 125874.
Thus, GCF of Fractions is 1/125874.Finally, GCF of Fractions for 57/518, 44/378, 100/243 is 1/125874.