Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 306/44,367/39,797/132
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 306,367,797
Greatest Common Factor of Numerators i.e. GCF of 306,367,797 is 1 .
LCM of Denominators means LCM of 44,39,132 as per the given fractions.
LCM of 44,39,132 is 1716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 306,367,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 306,367,797 . The biggest common factor number is the GCF number.
So the greatest common factor 306,367,797 is 1.
Lets's calculate LCM of 44,39,132
2 | 44, 39, 132 |
2 | 22, 39, 66 |
3 | 11, 39, 33 |
11 | 11, 13, 11 |
1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 13 x 1 = 1716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1716
Therefore, the GCF of Fractions 306/44,367/39,797/132 is 1/1716
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 44,39,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,39,132) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(44,39,132) x common factors =1 x 132 = 132
LCM(44,39,132) = ( 44 × 39 × 132 ) / 132
LCM(44,39,132) = 226512 / 132
LCM(44,39,132) = 1716
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 306/44, 367/39, 797/132?
Answer: GCF of Numerators as per given numbers 306/44, 367/39, 797/132 is
GCF of Numerators i.e. for 306,367,797 is 1
LCM of denominators i.e. for 44,39,132 is 1716.
Thus, GCF of Fractions is 1/1716.Finally, GCF of Fractions for 306/44, 367/39, 797/132 is 1/1716.