Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/397,2309/901
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 559,2309
Greatest Common Factor of Numerators i.e. GCF of 559,2309 is 1 .
LCM of Denominators means LCM of 397,901 as per the given fractions.
LCM of 397,901 is 357697 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 559,2309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 2309
List of positive integer factors of 2309 that divides 2309 without a remainder.
1,2309
Greatest Common Factor
We found the factors 559,2309 . The biggest common factor number is the GCF number.
So the greatest common factor 559,2309 is 1.
Lets's calculate LCM of 397,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 357697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357697
Therefore, the GCF of Fractions 559/397,2309/901 is 1/357697
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 397,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,901) x common factors =1 x 1 = 1
LCM(397,901) = ( 397 × 901 ) / 1
LCM(397,901) = 357697 / 1
LCM(397,901) = 357697
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 559/397, 2309/901?
Answer: GCF of Numerators as per given numbers 559/397, 2309/901 is
GCF of Numerators i.e. for 559,2309 is 1
LCM of denominators i.e. for 397,901 is 357697.
Thus, GCF of Fractions is 1/357697.Finally, GCF of Fractions for 559/397, 2309/901 is 1/357697.