Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9193/605,2261/2004
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 9193,2261
Greatest Common Factor of Numerators i.e. GCF of 9193,2261 is 1 .
LCM of Denominators means LCM of 605,2004 as per the given fractions.
LCM of 605,2004 is 1212420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9193,2261
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9193
List of positive integer factors of 9193 that divides 9193 without a remainder.
1,29,317,9193
Factors of 2261
List of positive integer factors of 2261 that divides 2261 without a remainder.
1,7,17,19,119,133,323,2261
Greatest Common Factor
We found the factors 9193,2261 . The biggest common factor number is the GCF number.
So the greatest common factor 9193,2261 is 1.
Lets's calculate LCM of 605,2004
Given numbers has no common factors except 1. So, there LCM is their product i.e 1212420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1212420
Therefore, the GCF of Fractions 9193/605,2261/2004 is 1/1212420
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 605,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,2004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,2004) x common factors =1 x 1 = 1
LCM(605,2004) = ( 605 × 2004 ) / 1
LCM(605,2004) = 1212420 / 1
LCM(605,2004) = 1212420
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 9193/605, 2261/2004?
Answer: GCF of Numerators as per given numbers 9193/605, 2261/2004 is
GCF of Numerators i.e. for 9193,2261 is 1
LCM of denominators i.e. for 605,2004 is 1212420.
Thus, GCF of Fractions is 1/1212420.Finally, GCF of Fractions for 9193/605, 2261/2004 is 1/1212420.