Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4844/80,3193/454
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 4844,3193
Greatest Common Factor of Numerators i.e. GCF of 4844,3193 is 1 .
LCM of Denominators means LCM of 80,454 as per the given fractions.
LCM of 80,454 is 18160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4844,3193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4844
List of positive integer factors of 4844 that divides 4844 without a remainder.
1,2,4,7,14,28,173,346,692,1211,2422,4844
Factors of 3193
List of positive integer factors of 3193 that divides 3193 without a remainder.
1,31,103,3193
Greatest Common Factor
We found the factors 4844,3193 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,3193 is 1.
Lets's calculate LCM of 80,454
2 | 80, 454 |
40, 227 |
∴ So the LCM of the given numbers is 2 x 40 x 227 = 18160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18160
Therefore, the GCF of Fractions 4844/80,3193/454 is 1/18160
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 80,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,454) x common factors =2 x 1 = 2
LCM(80,454) = ( 80 × 454 ) / 2
LCM(80,454) = 36320 / 2
LCM(80,454) = 18160
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 4844/80, 3193/454?
Answer: GCF of Numerators as per given numbers 4844/80, 3193/454 is
GCF of Numerators i.e. for 4844,3193 is 1
LCM of denominators i.e. for 80,454 is 18160.
Thus, GCF of Fractions is 1/18160.Finally, GCF of Fractions for 4844/80, 3193/454 is 1/18160.