Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/939,3389/239
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 605,3389
Greatest Common Factor of Numerators i.e. GCF of 605,3389 is 1 .
LCM of Denominators means LCM of 939,239 as per the given fractions.
LCM of 939,239 is 224421 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,3389
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 3389
List of positive integer factors of 3389 that divides 3389 without a remainder.
1,3389
Greatest Common Factor
We found the factors 605,3389 . The biggest common factor number is the GCF number.
So the greatest common factor 605,3389 is 1.
Lets's calculate LCM of 939,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 224421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224421
Therefore, the GCF of Fractions 605/939,3389/239 is 1/224421
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 939,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,239) x common factors =1 x 1 = 1
LCM(939,239) = ( 939 × 239 ) / 1
LCM(939,239) = 224421 / 1
LCM(939,239) = 224421
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 605/939, 3389/239?
Answer: GCF of Numerators as per given numbers 605/939, 3389/239 is
GCF of Numerators i.e. for 605,3389 is 1
LCM of denominators i.e. for 939,239 is 224421.
Thus, GCF of Fractions is 1/224421.Finally, GCF of Fractions for 605/939, 3389/239 is 1/224421.