Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/137,609/289
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 18,609
Greatest Common Factor of Numerators i.e. GCF of 18,609 is 3 .
LCM of Denominators means LCM of 137,289 as per the given fractions.
LCM of 137,289 is 39593 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,609
3 | 18, 609 |
6, 203 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 18,609 . The biggest common factor number is the GCF number.
So the greatest common factor 18,609 is 3.
Lets's calculate LCM of 137,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 39593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39593
Therefore, the GCF of Fractions 18/137,609/289 is 3/39593
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 137,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,289) x common factors =1 x 1 = 1
LCM(137,289) = ( 137 × 289 ) / 1
LCM(137,289) = 39593 / 1
LCM(137,289) = 39593
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 18/137, 609/289?
Answer: GCF of Numerators as per given numbers 18/137, 609/289 is
GCF of Numerators i.e. for 18,609 is 3
LCM of denominators i.e. for 137,289 is 39593.
Thus, GCF of Fractions is 3/39593.Finally, GCF of Fractions for 18/137, 609/289 is 3/39593.