Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4827/608,3595/559
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 4827,3595
Greatest Common Factor of Numerators i.e. GCF of 4827,3595 is 1 .
LCM of Denominators means LCM of 608,559 as per the given fractions.
LCM of 608,559 is 339872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4827,3595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4827
List of positive integer factors of 4827 that divides 4827 without a remainder.
1,3,1609,4827
Factors of 3595
List of positive integer factors of 3595 that divides 3595 without a remainder.
1,5,719,3595
Greatest Common Factor
We found the factors 4827,3595 . The biggest common factor number is the GCF number.
So the greatest common factor 4827,3595 is 1.
Lets's calculate LCM of 608,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 339872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339872
Therefore, the GCF of Fractions 4827/608,3595/559 is 1/339872
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 608,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,559) x common factors =1 x 1 = 1
LCM(608,559) = ( 608 × 559 ) / 1
LCM(608,559) = 339872 / 1
LCM(608,559) = 339872
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 4827/608, 3595/559?
Answer: GCF of Numerators as per given numbers 4827/608, 3595/559 is
GCF of Numerators i.e. for 4827,3595 is 1
LCM of denominators i.e. for 608,559 is 339872.
Thus, GCF of Fractions is 1/339872.Finally, GCF of Fractions for 4827/608, 3595/559 is 1/339872.