Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4397/515,4669/5146
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 4397,4669
Greatest Common Factor of Numerators i.e. GCF of 4397,4669 is 1 .
LCM of Denominators means LCM of 515,5146 as per the given fractions.
LCM of 515,5146 is 2650190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4397,4669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4397
List of positive integer factors of 4397 that divides 4397 without a remainder.
1,4397
Factors of 4669
List of positive integer factors of 4669 that divides 4669 without a remainder.
1,7,23,29,161,203,667,4669
Greatest Common Factor
We found the factors 4397,4669 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,4669 is 1.
Lets's calculate LCM of 515,5146
Given numbers has no common factors except 1. So, there LCM is their product i.e 2650190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2650190
Therefore, the GCF of Fractions 4397/515,4669/5146 is 1/2650190
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 515,5146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,5146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,5146) x common factors =1 x 1 = 1
LCM(515,5146) = ( 515 × 5146 ) / 1
LCM(515,5146) = 2650190 / 1
LCM(515,5146) = 2650190
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 4397/515, 4669/5146?
Answer: GCF of Numerators as per given numbers 4397/515, 4669/5146 is
GCF of Numerators i.e. for 4397,4669 is 1
LCM of denominators i.e. for 515,5146 is 2650190.
Thus, GCF of Fractions is 1/2650190.Finally, GCF of Fractions for 4397/515, 4669/5146 is 1/2650190.