Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6663/515,3597/6637
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 6663,3597
Greatest Common Factor of Numerators i.e. GCF of 6663,3597 is 3 .
LCM of Denominators means LCM of 515,6637 as per the given fractions.
LCM of 515,6637 is 3418055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6663,3597
3 | 6663, 3597 |
2221, 1199 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6663
List of positive integer factors of 6663 that divides 6663 without a remainder.
1,3,2221,6663
Factors of 3597
List of positive integer factors of 3597 that divides 3597 without a remainder.
1,3,11,33,109,327,1199,3597
Greatest Common Factor
We found the factors 6663,3597 . The biggest common factor number is the GCF number.
So the greatest common factor 6663,3597 is 3.
Lets's calculate LCM of 515,6637
Given numbers has no common factors except 1. So, there LCM is their product i.e 3418055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3418055
Therefore, the GCF of Fractions 6663/515,3597/6637 is 3/3418055
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 515,6637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,6637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,6637) x common factors =1 x 1 = 1
LCM(515,6637) = ( 515 × 6637 ) / 1
LCM(515,6637) = 3418055 / 1
LCM(515,6637) = 3418055
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 6663/515, 3597/6637?
Answer: GCF of Numerators as per given numbers 6663/515, 3597/6637 is
GCF of Numerators i.e. for 6663,3597 is 3
LCM of denominators i.e. for 515,6637 is 3418055.
Thus, GCF of Fractions is 3/3418055.Finally, GCF of Fractions for 6663/515, 3597/6637 is 3/3418055.