Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6804/246,1347/2811
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 6804,1347
Greatest Common Factor of Numerators i.e. GCF of 6804,1347 is 3 .
LCM of Denominators means LCM of 246,2811 as per the given fractions.
LCM of 246,2811 is 230502 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6804,1347
3 | 6804, 1347 |
2268, 449 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6804
List of positive integer factors of 6804 that divides 6804 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Factors of 1347
List of positive integer factors of 1347 that divides 1347 without a remainder.
1,3,449,1347
Greatest Common Factor
We found the factors 6804,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 6804,1347 is 3.
Lets's calculate LCM of 246,2811
3 | 246, 2811 |
82, 937 |
∴ So the LCM of the given numbers is 3 x 82 x 937 = 230502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230502
Therefore, the GCF of Fractions 6804/246,1347/2811 is 3/230502
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 246,2811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,2811) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(246,2811) x common factors =3 x 1 = 3
LCM(246,2811) = ( 246 × 2811 ) / 3
LCM(246,2811) = 691506 / 3
LCM(246,2811) = 230502
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 6804/246, 1347/2811?
Answer: GCF of Numerators as per given numbers 6804/246, 1347/2811 is
GCF of Numerators i.e. for 6804,1347 is 3
LCM of denominators i.e. for 246,2811 is 230502.
Thus, GCF of Fractions is 3/230502.Finally, GCF of Fractions for 6804/246, 1347/2811 is 3/230502.