Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/309,831/881,483/873
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 44,831,483
Greatest Common Factor of Numerators i.e. GCF of 44,831,483 is 1 .
LCM of Denominators means LCM of 309,881,873 as per the given fractions.
LCM of 309,881,873 is 79218639 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,831,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 44,831,483 . The biggest common factor number is the GCF number.
So the greatest common factor 44,831,483 is 1.
Lets's calculate LCM of 309,881,873
3 | 309, 881, 873 |
103, 881, 291 |
∴ So the LCM of the given numbers is 3 x 103 x 881 x 291 = 79218639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79218639
Therefore, the GCF of Fractions 44/309,831/881,483/873 is 1/79218639
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 309,881,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,881,873) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(309,881,873) x common factors =1 x 3 = 3
LCM(309,881,873) = ( 309 × 881 × 873 ) / 3
LCM(309,881,873) = 237655917 / 3
LCM(309,881,873) = 79218639
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 44/309, 831/881, 483/873?
Answer: GCF of Numerators as per given numbers 44/309, 831/881, 483/873 is
GCF of Numerators i.e. for 44,831,483 is 1
LCM of denominators i.e. for 309,881,873 is 79218639.
Thus, GCF of Fractions is 1/79218639.Finally, GCF of Fractions for 44/309, 831/881, 483/873 is 1/79218639.