Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/188,12/984,424/593
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 73,12,424
Greatest Common Factor of Numerators i.e. GCF of 73,12,424 is 1 .
LCM of Denominators means LCM of 188,984,593 as per the given fractions.
LCM of 188,984,593 is 27425064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,12,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 73,12,424 . The biggest common factor number is the GCF number.
So the greatest common factor 73,12,424 is 1.
Lets's calculate LCM of 188,984,593
2 | 188, 984, 593 |
2 | 94, 492, 593 |
47, 246, 593 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 246 x 593 = 27425064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27425064
Therefore, the GCF of Fractions 73/188,12/984,424/593 is 1/27425064
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 188,984,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,984,593) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(188,984,593) x common factors =1 x 4 = 4
LCM(188,984,593) = ( 188 × 984 × 593 ) / 4
LCM(188,984,593) = 109700256 / 4
LCM(188,984,593) = 27425064
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 73/188, 12/984, 424/593?
Answer: GCF of Numerators as per given numbers 73/188, 12/984, 424/593 is
GCF of Numerators i.e. for 73,12,424 is 1
LCM of denominators i.e. for 188,984,593 is 27425064.
Thus, GCF of Fractions is 1/27425064.Finally, GCF of Fractions for 73/188, 12/984, 424/593 is 1/27425064.