Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 806/91,203/13,198/477
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 806,203,198
Greatest Common Factor of Numerators i.e. GCF of 806,203,198 is 1 .
LCM of Denominators means LCM of 91,13,477 as per the given fractions.
LCM of 91,13,477 is 43407 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 806,203,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 806,203,198 . The biggest common factor number is the GCF number.
So the greatest common factor 806,203,198 is 1.
Lets's calculate LCM of 91,13,477
13 | 91, 13, 477 |
7, 1, 477 |
∴ So the LCM of the given numbers is 13 x 7 x 1 x 477 = 43407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43407
Therefore, the GCF of Fractions 806/91,203/13,198/477 is 1/43407
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 91,13,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,13,477) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(91,13,477) x common factors =1 x 13 = 13
LCM(91,13,477) = ( 91 × 13 × 477 ) / 13
LCM(91,13,477) = 564291 / 13
LCM(91,13,477) = 43407
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 806/91, 203/13, 198/477?
Answer: GCF of Numerators as per given numbers 806/91, 203/13, 198/477 is
GCF of Numerators i.e. for 806,203,198 is 1
LCM of denominators i.e. for 91,13,477 is 43407.
Thus, GCF of Fractions is 1/43407.Finally, GCF of Fractions for 806/91, 203/13, 198/477 is 1/43407.