Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8081/661,4549/6903
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 8081,4549
Greatest Common Factor of Numerators i.e. GCF of 8081,4549 is 1 .
LCM of Denominators means LCM of 661,6903 as per the given fractions.
LCM of 661,6903 is 4562883 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8081,4549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8081
List of positive integer factors of 8081 that divides 8081 without a remainder.
1,8081
Factors of 4549
List of positive integer factors of 4549 that divides 4549 without a remainder.
1,4549
Greatest Common Factor
We found the factors 8081,4549 . The biggest common factor number is the GCF number.
So the greatest common factor 8081,4549 is 1.
Lets's calculate LCM of 661,6903
Given numbers has no common factors except 1. So, there LCM is their product i.e 4562883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4562883
Therefore, the GCF of Fractions 8081/661,4549/6903 is 1/4562883
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 661,6903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,6903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,6903) x common factors =1 x 1 = 1
LCM(661,6903) = ( 661 × 6903 ) / 1
LCM(661,6903) = 4562883 / 1
LCM(661,6903) = 4562883
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 8081/661, 4549/6903?
Answer: GCF of Numerators as per given numbers 8081/661, 4549/6903 is
GCF of Numerators i.e. for 8081,4549 is 1
LCM of denominators i.e. for 661,6903 is 4562883.
Thus, GCF of Fractions is 1/4562883.Finally, GCF of Fractions for 8081/661, 4549/6903 is 1/4562883.