Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 116/93,314/52,615/48
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 116,314,615
Greatest Common Factor of Numerators i.e. GCF of 116,314,615 is 1 .
LCM of Denominators means LCM of 93,52,48 as per the given fractions.
LCM of 93,52,48 is 19344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 116,314,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 116,314,615 . The biggest common factor number is the GCF number.
So the greatest common factor 116,314,615 is 1.
Lets's calculate LCM of 93,52,48
2 | 93, 52, 48 |
2 | 93, 26, 24 |
3 | 93, 13, 12 |
31, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 13 x 4 = 19344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19344
Therefore, the GCF of Fractions 116/93,314/52,615/48 is 1/19344
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 93,52,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,52,48) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(93,52,48) x common factors =1 x 12 = 12
LCM(93,52,48) = ( 93 × 52 × 48 ) / 12
LCM(93,52,48) = 232128 / 12
LCM(93,52,48) = 19344
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 116/93, 314/52, 615/48?
Answer: GCF of Numerators as per given numbers 116/93, 314/52, 615/48 is
GCF of Numerators i.e. for 116,314,615 is 1
LCM of denominators i.e. for 93,52,48 is 19344.
Thus, GCF of Fractions is 1/19344.Finally, GCF of Fractions for 116/93, 314/52, 615/48 is 1/19344.