Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2283/838,3593/5589
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 2283,3593
Greatest Common Factor of Numerators i.e. GCF of 2283,3593 is 1 .
LCM of Denominators means LCM of 838,5589 as per the given fractions.
LCM of 838,5589 is 4683582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2283,3593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2283
List of positive integer factors of 2283 that divides 2283 without a remainder.
1,3,761,2283
Factors of 3593
List of positive integer factors of 3593 that divides 3593 without a remainder.
1,3593
Greatest Common Factor
We found the factors 2283,3593 . The biggest common factor number is the GCF number.
So the greatest common factor 2283,3593 is 1.
Lets's calculate LCM of 838,5589
Given numbers has no common factors except 1. So, there LCM is their product i.e 4683582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4683582
Therefore, the GCF of Fractions 2283/838,3593/5589 is 1/4683582
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 838,5589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,5589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,5589) x common factors =1 x 1 = 1
LCM(838,5589) = ( 838 × 5589 ) / 1
LCM(838,5589) = 4683582 / 1
LCM(838,5589) = 4683582
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 2283/838, 3593/5589?
Answer: GCF of Numerators as per given numbers 2283/838, 3593/5589 is
GCF of Numerators i.e. for 2283,3593 is 1
LCM of denominators i.e. for 838,5589 is 4683582.
Thus, GCF of Fractions is 1/4683582.Finally, GCF of Fractions for 2283/838, 3593/5589 is 1/4683582.