Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4479/31,8353/259
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 4479,8353
Greatest Common Factor of Numerators i.e. GCF of 4479,8353 is 1 .
LCM of Denominators means LCM of 31,259 as per the given fractions.
LCM of 31,259 is 8029 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4479,8353
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4479
List of positive integer factors of 4479 that divides 4479 without a remainder.
1,3,1493,4479
Factors of 8353
List of positive integer factors of 8353 that divides 8353 without a remainder.
1,8353
Greatest Common Factor
We found the factors 4479,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,8353 is 1.
Lets's calculate LCM of 31,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 8029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8029
Therefore, the GCF of Fractions 4479/31,8353/259 is 1/8029
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 31,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,259) x common factors =1 x 1 = 1
LCM(31,259) = ( 31 × 259 ) / 1
LCM(31,259) = 8029 / 1
LCM(31,259) = 8029
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 4479/31, 8353/259?
Answer: GCF of Numerators as per given numbers 4479/31, 8353/259 is
GCF of Numerators i.e. for 4479,8353 is 1
LCM of denominators i.e. for 31,259 is 8029.
Thus, GCF of Fractions is 1/8029.Finally, GCF of Fractions for 4479/31, 8353/259 is 1/8029.