Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/859,6093/2335
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 83,6093
Greatest Common Factor of Numerators i.e. GCF of 83,6093 is 1 .
LCM of Denominators means LCM of 859,2335 as per the given fractions.
LCM of 859,2335 is 2005765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,6093
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 6093
List of positive integer factors of 6093 that divides 6093 without a remainder.
1,3,9,677,2031,6093
Greatest Common Factor
We found the factors 83,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6093 is 1.
Lets's calculate LCM of 859,2335
Given numbers has no common factors except 1. So, there LCM is their product i.e 2005765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2005765
Therefore, the GCF of Fractions 83/859,6093/2335 is 1/2005765
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 859,2335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,2335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,2335) x common factors =1 x 1 = 1
LCM(859,2335) = ( 859 × 2335 ) / 1
LCM(859,2335) = 2005765 / 1
LCM(859,2335) = 2005765
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 83/859, 6093/2335?
Answer: GCF of Numerators as per given numbers 83/859, 6093/2335 is
GCF of Numerators i.e. for 83,6093 is 1
LCM of denominators i.e. for 859,2335 is 2005765.
Thus, GCF of Fractions is 1/2005765.Finally, GCF of Fractions for 83/859, 6093/2335 is 1/2005765.