Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2081/883,9173/6296
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 2081,9173
Greatest Common Factor of Numerators i.e. GCF of 2081,9173 is 1 .
LCM of Denominators means LCM of 883,6296 as per the given fractions.
LCM of 883,6296 is 5559368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2081,9173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2081
List of positive integer factors of 2081 that divides 2081 without a remainder.
1,2081
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1,9173
Greatest Common Factor
We found the factors 2081,9173 . The biggest common factor number is the GCF number.
So the greatest common factor 2081,9173 is 1.
Lets's calculate LCM of 883,6296
Given numbers has no common factors except 1. So, there LCM is their product i.e 5559368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5559368
Therefore, the GCF of Fractions 2081/883,9173/6296 is 1/5559368
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 883,6296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,6296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,6296) x common factors =1 x 1 = 1
LCM(883,6296) = ( 883 × 6296 ) / 1
LCM(883,6296) = 5559368 / 1
LCM(883,6296) = 5559368
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 2081/883, 9173/6296?
Answer: GCF of Numerators as per given numbers 2081/883, 9173/6296 is
GCF of Numerators i.e. for 2081,9173 is 1
LCM of denominators i.e. for 883,6296 is 5559368.
Thus, GCF of Fractions is 1/5559368.Finally, GCF of Fractions for 2081/883, 9173/6296 is 1/5559368.