Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/395,200/589
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 383,200
Greatest Common Factor of Numerators i.e. GCF of 383,200 is 1 .
LCM of Denominators means LCM of 395,589 as per the given fractions.
LCM of 395,589 is 232655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 383,200
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 383,200 . The biggest common factor number is the GCF number.
So the greatest common factor 383,200 is 1.
Lets's calculate LCM of 395,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 232655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232655
Therefore, the GCF of Fractions 383/395,200/589 is 1/232655
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 395,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,589) x common factors =1 x 1 = 1
LCM(395,589) = ( 395 × 589 ) / 1
LCM(395,589) = 232655 / 1
LCM(395,589) = 232655
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 383/395, 200/589?
Answer: GCF of Numerators as per given numbers 383/395, 200/589 is
GCF of Numerators i.e. for 383,200 is 1
LCM of denominators i.e. for 395,589 is 232655.
Thus, GCF of Fractions is 1/232655.Finally, GCF of Fractions for 383/395, 200/589 is 1/232655.