Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/797,741/682,797/619
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 13,741,797
Greatest Common Factor of Numerators i.e. GCF of 13,741,797 is 1 .
LCM of Denominators means LCM of 797,682,619 as per the given fractions.
LCM of 797,682,619 is 336459926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,741,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 13,741,797 . The biggest common factor number is the GCF number.
So the greatest common factor 13,741,797 is 1.
Lets's calculate LCM of 797,682,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 336459926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336459926
Therefore, the GCF of Fractions 13/797,741/682,797/619 is 1/336459926
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 797,682,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,682,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,682,619) x common factors =1 x 1 = 1
LCM(797,682,619) = ( 797 × 682 × 619 ) / 1
LCM(797,682,619) = 336459926 / 1
LCM(797,682,619) = 336459926
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 13/797, 741/682, 797/619?
Answer: GCF of Numerators as per given numbers 13/797, 741/682, 797/619 is
GCF of Numerators i.e. for 13,741,797 is 1
LCM of denominators i.e. for 797,682,619 is 336459926.
Thus, GCF of Fractions is 1/336459926.Finally, GCF of Fractions for 13/797, 741/682, 797/619 is 1/336459926.