Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8077/585,2847/569
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 8077,2847
Greatest Common Factor of Numerators i.e. GCF of 8077,2847 is 1 .
LCM of Denominators means LCM of 585,569 as per the given fractions.
LCM of 585,569 is 332865 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8077,2847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8077
List of positive integer factors of 8077 that divides 8077 without a remainder.
1,41,197,8077
Factors of 2847
List of positive integer factors of 2847 that divides 2847 without a remainder.
1,3,13,39,73,219,949,2847
Greatest Common Factor
We found the factors 8077,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,2847 is 1.
Lets's calculate LCM of 585,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 332865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332865
Therefore, the GCF of Fractions 8077/585,2847/569 is 1/332865
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 585,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,569) x common factors =1 x 1 = 1
LCM(585,569) = ( 585 × 569 ) / 1
LCM(585,569) = 332865 / 1
LCM(585,569) = 332865
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 8077/585, 2847/569?
Answer: GCF of Numerators as per given numbers 8077/585, 2847/569 is
GCF of Numerators i.e. for 8077,2847 is 1
LCM of denominators i.e. for 585,569 is 332865.
Thus, GCF of Fractions is 1/332865.Finally, GCF of Fractions for 8077/585, 2847/569 is 1/332865.