Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2813/593,1865/6193
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 2813,1865
Greatest Common Factor of Numerators i.e. GCF of 2813,1865 is 1 .
LCM of Denominators means LCM of 593,6193 as per the given fractions.
LCM of 593,6193 is 3672449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2813,1865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2813
List of positive integer factors of 2813 that divides 2813 without a remainder.
1,29,97,2813
Factors of 1865
List of positive integer factors of 1865 that divides 1865 without a remainder.
1,5,373,1865
Greatest Common Factor
We found the factors 2813,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 2813,1865 is 1.
Lets's calculate LCM of 593,6193
Given numbers has no common factors except 1. So, there LCM is their product i.e 3672449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3672449
Therefore, the GCF of Fractions 2813/593,1865/6193 is 1/3672449
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 593,6193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,6193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,6193) x common factors =1 x 1 = 1
LCM(593,6193) = ( 593 × 6193 ) / 1
LCM(593,6193) = 3672449 / 1
LCM(593,6193) = 3672449
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 2813/593, 1865/6193?
Answer: GCF of Numerators as per given numbers 2813/593, 1865/6193 is
GCF of Numerators i.e. for 2813,1865 is 1
LCM of denominators i.e. for 593,6193 is 3672449.
Thus, GCF of Fractions is 1/3672449.Finally, GCF of Fractions for 2813/593, 1865/6193 is 1/3672449.