Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/297,73/317,863/816
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 19,73,863
Greatest Common Factor of Numerators i.e. GCF of 19,73,863 is 1 .
LCM of Denominators means LCM of 297,317,816 as per the given fractions.
LCM of 297,317,816 is 25608528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,73,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 19,73,863 . The biggest common factor number is the GCF number.
So the greatest common factor 19,73,863 is 1.
Lets's calculate LCM of 297,317,816
3 | 297, 317, 816 |
99, 317, 272 |
∴ So the LCM of the given numbers is 3 x 99 x 317 x 272 = 25608528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25608528
Therefore, the GCF of Fractions 19/297,73/317,863/816 is 1/25608528
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 297,317,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,317,816) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(297,317,816) x common factors =1 x 3 = 3
LCM(297,317,816) = ( 297 × 317 × 816 ) / 3
LCM(297,317,816) = 76825584 / 3
LCM(297,317,816) = 25608528
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 19/297, 73/317, 863/816?
Answer: GCF of Numerators as per given numbers 19/297, 73/317, 863/816 is
GCF of Numerators i.e. for 19,73,863 is 1
LCM of denominators i.e. for 297,317,816 is 25608528.
Thus, GCF of Fractions is 1/25608528.Finally, GCF of Fractions for 19/297, 73/317, 863/816 is 1/25608528.