Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 539/396,6831/510
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 539,6831
Greatest Common Factor of Numerators i.e. GCF of 539,6831 is 11 .
LCM of Denominators means LCM of 396,510 as per the given fractions.
LCM of 396,510 is 33660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 539,6831
11 | 539, 6831 |
49, 621 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 6831
List of positive integer factors of 6831 that divides 6831 without a remainder.
1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831
Greatest Common Factor
We found the factors 539,6831 . The biggest common factor number is the GCF number.
So the greatest common factor 539,6831 is 11.
Lets's calculate LCM of 396,510
2 | 396, 510 |
3 | 198, 255 |
66, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 66 x 85 = 33660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/33660
Therefore, the GCF of Fractions 539/396,6831/510 is 11/33660
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 396,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,510) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(396,510) x common factors =6 x 1 = 6
LCM(396,510) = ( 396 × 510 ) / 6
LCM(396,510) = 201960 / 6
LCM(396,510) = 33660
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 539/396, 6831/510?
Answer: GCF of Numerators as per given numbers 539/396, 6831/510 is
GCF of Numerators i.e. for 539,6831 is 11
LCM of denominators i.e. for 396,510 is 33660.
Thus, GCF of Fractions is 11/33660.Finally, GCF of Fractions for 539/396, 6831/510 is 11/33660.