Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2409/591,8381/4577
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 2409,8381
Greatest Common Factor of Numerators i.e. GCF of 2409,8381 is 1 .
LCM of Denominators means LCM of 591,4577 as per the given fractions.
LCM of 591,4577 is 2705007 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2409,8381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2409
List of positive integer factors of 2409 that divides 2409 without a remainder.
1,3,11,33,73,219,803,2409
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1,17,29,289,493,8381
Greatest Common Factor
We found the factors 2409,8381 . The biggest common factor number is the GCF number.
So the greatest common factor 2409,8381 is 1.
Lets's calculate LCM of 591,4577
Given numbers has no common factors except 1. So, there LCM is their product i.e 2705007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2705007
Therefore, the GCF of Fractions 2409/591,8381/4577 is 1/2705007
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 591,4577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,4577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,4577) x common factors =1 x 1 = 1
LCM(591,4577) = ( 591 × 4577 ) / 1
LCM(591,4577) = 2705007 / 1
LCM(591,4577) = 2705007
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 2409/591, 8381/4577?
Answer: GCF of Numerators as per given numbers 2409/591, 8381/4577 is
GCF of Numerators i.e. for 2409,8381 is 1
LCM of denominators i.e. for 591,4577 is 2705007.
Thus, GCF of Fractions is 1/2705007.Finally, GCF of Fractions for 2409/591, 8381/4577 is 1/2705007.