Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/3723,159/2899
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 389,159
Greatest Common Factor of Numerators i.e. GCF of 389,159 is 1 .
LCM of Denominators means LCM of 3723,2899 as per the given fractions.
LCM of 3723,2899 is 10792977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 389,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 389,159 . The biggest common factor number is the GCF number.
So the greatest common factor 389,159 is 1.
Lets's calculate LCM of 3723,2899
Given numbers has no common factors except 1. So, there LCM is their product i.e 10792977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10792977
Therefore, the GCF of Fractions 389/3723,159/2899 is 1/10792977
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 3723,2899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3723,2899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3723,2899) x common factors =1 x 1 = 1
LCM(3723,2899) = ( 3723 × 2899 ) / 1
LCM(3723,2899) = 10792977 / 1
LCM(3723,2899) = 10792977
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 389/3723, 159/2899?
Answer: GCF of Numerators as per given numbers 389/3723, 159/2899 is
GCF of Numerators i.e. for 389,159 is 1
LCM of denominators i.e. for 3723,2899 is 10792977.
Thus, GCF of Fractions is 1/10792977.Finally, GCF of Fractions for 389/3723, 159/2899 is 1/10792977.