Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8093/353,1393/923
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 8093,1393
Greatest Common Factor of Numerators i.e. GCF of 8093,1393 is 1 .
LCM of Denominators means LCM of 353,923 as per the given fractions.
LCM of 353,923 is 325819 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8093,1393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8093
List of positive integer factors of 8093 that divides 8093 without a remainder.
1,8093
Factors of 1393
List of positive integer factors of 1393 that divides 1393 without a remainder.
1,7,199,1393
Greatest Common Factor
We found the factors 8093,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 8093,1393 is 1.
Lets's calculate LCM of 353,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 325819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325819
Therefore, the GCF of Fractions 8093/353,1393/923 is 1/325819
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 353,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,923) x common factors =1 x 1 = 1
LCM(353,923) = ( 353 × 923 ) / 1
LCM(353,923) = 325819 / 1
LCM(353,923) = 325819
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 8093/353, 1393/923?
Answer: GCF of Numerators as per given numbers 8093/353, 1393/923 is
GCF of Numerators i.e. for 8093,1393 is 1
LCM of denominators i.e. for 353,923 is 325819.
Thus, GCF of Fractions is 1/325819.Finally, GCF of Fractions for 8093/353, 1393/923 is 1/325819.