Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6797/515,4484/5220
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 6797,4484
Greatest Common Factor of Numerators i.e. GCF of 6797,4484 is 1 .
LCM of Denominators means LCM of 515,5220 as per the given fractions.
LCM of 515,5220 is 537660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6797,4484
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6797
List of positive integer factors of 6797 that divides 6797 without a remainder.
1,7,971,6797
Factors of 4484
List of positive integer factors of 4484 that divides 4484 without a remainder.
1,2,4,19,38,59,76,118,236,1121,2242,4484
Greatest Common Factor
We found the factors 6797,4484 . The biggest common factor number is the GCF number.
So the greatest common factor 6797,4484 is 1.
Lets's calculate LCM of 515,5220
5 | 515, 5220 |
103, 1044 |
∴ So the LCM of the given numbers is 5 x 103 x 1044 = 537660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537660
Therefore, the GCF of Fractions 6797/515,4484/5220 is 1/537660
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 515,5220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,5220) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,5220) x common factors =5 x 1 = 5
LCM(515,5220) = ( 515 × 5220 ) / 5
LCM(515,5220) = 2688300 / 5
LCM(515,5220) = 537660
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 6797/515, 4484/5220?
Answer: GCF of Numerators as per given numbers 6797/515, 4484/5220 is
GCF of Numerators i.e. for 6797,4484 is 1
LCM of denominators i.e. for 515,5220 is 537660.
Thus, GCF of Fractions is 1/537660.Finally, GCF of Fractions for 6797/515, 4484/5220 is 1/537660.