Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8797/39,6919/464
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 8797,6919
Greatest Common Factor of Numerators i.e. GCF of 8797,6919 is 1 .
LCM of Denominators means LCM of 39,464 as per the given fractions.
LCM of 39,464 is 18096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8797,6919
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8797
List of positive integer factors of 8797 that divides 8797 without a remainder.
1,19,463,8797
Factors of 6919
List of positive integer factors of 6919 that divides 6919 without a remainder.
1,11,17,37,187,407,629,6919
Greatest Common Factor
We found the factors 8797,6919 . The biggest common factor number is the GCF number.
So the greatest common factor 8797,6919 is 1.
Lets's calculate LCM of 39,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 18096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18096
Therefore, the GCF of Fractions 8797/39,6919/464 is 1/18096
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 39,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,464) x common factors =1 x 1 = 1
LCM(39,464) = ( 39 × 464 ) / 1
LCM(39,464) = 18096 / 1
LCM(39,464) = 18096
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 8797/39, 6919/464?
Answer: GCF of Numerators as per given numbers 8797/39, 6919/464 is
GCF of Numerators i.e. for 8797,6919 is 1
LCM of denominators i.e. for 39,464 is 18096.
Thus, GCF of Fractions is 1/18096.Finally, GCF of Fractions for 8797/39, 6919/464 is 1/18096.