Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/861,1041/2844
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 394,1041
Greatest Common Factor of Numerators i.e. GCF of 394,1041 is 1 .
LCM of Denominators means LCM of 861,2844 as per the given fractions.
LCM of 861,2844 is 816228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,1041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 1041
List of positive integer factors of 1041 that divides 1041 without a remainder.
1,3,347,1041
Greatest Common Factor
We found the factors 394,1041 . The biggest common factor number is the GCF number.
So the greatest common factor 394,1041 is 1.
Lets's calculate LCM of 861,2844
3 | 861, 2844 |
287, 948 |
∴ So the LCM of the given numbers is 3 x 287 x 948 = 816228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/816228
Therefore, the GCF of Fractions 394/861,1041/2844 is 1/816228
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 861,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,2844) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,2844) x common factors =3 x 1 = 3
LCM(861,2844) = ( 861 × 2844 ) / 3
LCM(861,2844) = 2448684 / 3
LCM(861,2844) = 816228
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 394/861, 1041/2844?
Answer: GCF of Numerators as per given numbers 394/861, 1041/2844 is
GCF of Numerators i.e. for 394,1041 is 1
LCM of denominators i.e. for 861,2844 is 816228.
Thus, GCF of Fractions is 1/816228.Finally, GCF of Fractions for 394/861, 1041/2844 is 1/816228.