Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 115/303,996/413,498/498
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 115,996,498
Greatest Common Factor of Numerators i.e. GCF of 115,996,498 is 1 .
LCM of Denominators means LCM of 303,413,498 as per the given fractions.
LCM of 303,413,498 is 20773074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 115,996,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 115,996,498 . The biggest common factor number is the GCF number.
So the greatest common factor 115,996,498 is 1.
Lets's calculate LCM of 303,413,498
3 | 303, 413, 498 |
101, 413, 166 |
∴ So the LCM of the given numbers is 3 x 101 x 413 x 166 = 20773074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20773074
Therefore, the GCF of Fractions 115/303,996/413,498/498 is 1/20773074
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 303,413,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,413,498) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(303,413,498) x common factors =1 x 3 = 3
LCM(303,413,498) = ( 303 × 413 × 498 ) / 3
LCM(303,413,498) = 62319222 / 3
LCM(303,413,498) = 20773074
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 115/303, 996/413, 498/498?
Answer: GCF of Numerators as per given numbers 115/303, 996/413, 498/498 is
GCF of Numerators i.e. for 115,996,498 is 1
LCM of denominators i.e. for 303,413,498 is 20773074.
Thus, GCF of Fractions is 1/20773074.Finally, GCF of Fractions for 115/303, 996/413, 498/498 is 1/20773074.