Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9181/881,8084/3790
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 9181,8084
Greatest Common Factor of Numerators i.e. GCF of 9181,8084 is 1 .
LCM of Denominators means LCM of 881,3790 as per the given fractions.
LCM of 881,3790 is 3338990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9181,8084
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9181
List of positive integer factors of 9181 that divides 9181 without a remainder.
1,9181
Factors of 8084
List of positive integer factors of 8084 that divides 8084 without a remainder.
1,2,4,43,47,86,94,172,188,2021,4042,8084
Greatest Common Factor
We found the factors 9181,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 9181,8084 is 1.
Lets's calculate LCM of 881,3790
Given numbers has no common factors except 1. So, there LCM is their product i.e 3338990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3338990
Therefore, the GCF of Fractions 9181/881,8084/3790 is 1/3338990
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 881,3790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,3790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,3790) x common factors =1 x 1 = 1
LCM(881,3790) = ( 881 × 3790 ) / 1
LCM(881,3790) = 3338990 / 1
LCM(881,3790) = 3338990
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 9181/881, 8084/3790?
Answer: GCF of Numerators as per given numbers 9181/881, 8084/3790 is
GCF of Numerators i.e. for 9181,8084 is 1
LCM of denominators i.e. for 881,3790 is 3338990.
Thus, GCF of Fractions is 1/3338990.Finally, GCF of Fractions for 9181/881, 8084/3790 is 1/3338990.