Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5905/593,9517/3761
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 5905,9517
Greatest Common Factor of Numerators i.e. GCF of 5905,9517 is 1 .
LCM of Denominators means LCM of 593,3761 as per the given fractions.
LCM of 593,3761 is 2230273 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5905,9517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1,5,1181,5905
Factors of 9517
List of positive integer factors of 9517 that divides 9517 without a remainder.
1,31,307,9517
Greatest Common Factor
We found the factors 5905,9517 . The biggest common factor number is the GCF number.
So the greatest common factor 5905,9517 is 1.
Lets's calculate LCM of 593,3761
Given numbers has no common factors except 1. So, there LCM is their product i.e 2230273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2230273
Therefore, the GCF of Fractions 5905/593,9517/3761 is 1/2230273
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 593,3761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,3761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,3761) x common factors =1 x 1 = 1
LCM(593,3761) = ( 593 × 3761 ) / 1
LCM(593,3761) = 2230273 / 1
LCM(593,3761) = 2230273
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 5905/593, 9517/3761?
Answer: GCF of Numerators as per given numbers 5905/593, 9517/3761 is
GCF of Numerators i.e. for 5905,9517 is 1
LCM of denominators i.e. for 593,3761 is 2230273.
Thus, GCF of Fractions is 1/2230273.Finally, GCF of Fractions for 5905/593, 9517/3761 is 1/2230273.