Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/12,28/91,16/35,92/135
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 57,28,16,92
Greatest Common Factor of Numerators i.e. GCF of 57,28,16,92 is 1 .
LCM of Denominators means LCM of 12,91,35,135 as per the given fractions.
LCM of 12,91,35,135 is 49140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,28,16,92
∴ 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 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 57,28,16,92 . The biggest common factor number is the GCF number.
So the greatest common factor 57,28,16,92 is 1.
Lets's calculate LCM of 12,91,35,135
3 | 12, 91, 35, 135 |
5 | 4, 91, 35, 45 |
7 | 4, 91, 7, 9 |
4, 13, 1, 9 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 4 x 13 x 1 x 9 = 49140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49140
Therefore, the GCF of Fractions 57/12,28/91,16/35,92/135 is 1/49140
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 12,91,35,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,91,35,135) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(12,91,35,135) x common factors =1 x 105 = 105
LCM(12,91,35,135) = ( 12 × 91 × 35 × 135 ) / 105
LCM(12,91,35,135) = 5159700 / 105
LCM(12,91,35,135) = 49140
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 57/12, 28/91, 16/35, 92/135?
Answer: GCF of Numerators as per given numbers 57/12, 28/91, 16/35, 92/135 is
GCF of Numerators i.e. for 57,28,16,92 is 1
LCM of denominators i.e. for 12,91,35,135 is 49140.
Thus, GCF of Fractions is 1/49140.Finally, GCF of Fractions for 57/12, 28/91, 16/35, 92/135 is 1/49140.