Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2041/392,3829/4923
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 2041,3829
Greatest Common Factor of Numerators i.e. GCF of 2041,3829 is 1 .
LCM of Denominators means LCM of 392,4923 as per the given fractions.
LCM of 392,4923 is 1929816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2041,3829
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2041
List of positive integer factors of 2041 that divides 2041 without a remainder.
1,13,157,2041
Factors of 3829
List of positive integer factors of 3829 that divides 3829 without a remainder.
1,7,547,3829
Greatest Common Factor
We found the factors 2041,3829 . The biggest common factor number is the GCF number.
So the greatest common factor 2041,3829 is 1.
Lets's calculate LCM of 392,4923
Given numbers has no common factors except 1. So, there LCM is their product i.e 1929816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1929816
Therefore, the GCF of Fractions 2041/392,3829/4923 is 1/1929816
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 392,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,4923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,4923) x common factors =1 x 1 = 1
LCM(392,4923) = ( 392 × 4923 ) / 1
LCM(392,4923) = 1929816 / 1
LCM(392,4923) = 1929816
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 2041/392, 3829/4923?
Answer: GCF of Numerators as per given numbers 2041/392, 3829/4923 is
GCF of Numerators i.e. for 2041,3829 is 1
LCM of denominators i.e. for 392,4923 is 1929816.
Thus, GCF of Fractions is 1/1929816.Finally, GCF of Fractions for 2041/392, 3829/4923 is 1/1929816.