Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5089/791,8301/815
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 5089,8301
Greatest Common Factor of Numerators i.e. GCF of 5089,8301 is 1 .
LCM of Denominators means LCM of 791,815 as per the given fractions.
LCM of 791,815 is 644665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5089,8301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5089
List of positive integer factors of 5089 that divides 5089 without a remainder.
1,7,727,5089
Factors of 8301
List of positive integer factors of 8301 that divides 8301 without a remainder.
1,3,2767,8301
Greatest Common Factor
We found the factors 5089,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 5089,8301 is 1.
Lets's calculate LCM of 791,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 644665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/644665
Therefore, the GCF of Fractions 5089/791,8301/815 is 1/644665
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 791,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,815) x common factors =1 x 1 = 1
LCM(791,815) = ( 791 × 815 ) / 1
LCM(791,815) = 644665 / 1
LCM(791,815) = 644665
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 5089/791, 8301/815?
Answer: GCF of Numerators as per given numbers 5089/791, 8301/815 is
GCF of Numerators i.e. for 5089,8301 is 1
LCM of denominators i.e. for 791,815 is 644665.
Thus, GCF of Fractions is 1/644665.Finally, GCF of Fractions for 5089/791, 8301/815 is 1/644665.