Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/839,5287/943
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 566,5287
Greatest Common Factor of Numerators i.e. GCF of 566,5287 is 1 .
LCM of Denominators means LCM of 839,943 as per the given fractions.
LCM of 839,943 is 791177 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,5287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1,17,311,5287
Greatest Common Factor
We found the factors 566,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 566,5287 is 1.
Lets's calculate LCM of 839,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 791177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791177
Therefore, the GCF of Fractions 566/839,5287/943 is 1/791177
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 839,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,943) x common factors =1 x 1 = 1
LCM(839,943) = ( 839 × 943 ) / 1
LCM(839,943) = 791177 / 1
LCM(839,943) = 791177
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 566/839, 5287/943?
Answer: GCF of Numerators as per given numbers 566/839, 5287/943 is
GCF of Numerators i.e. for 566,5287 is 1
LCM of denominators i.e. for 839,943 is 791177.
Thus, GCF of Fractions is 1/791177.Finally, GCF of Fractions for 566/839, 5287/943 is 1/791177.