Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6811/595,8659/2419
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 6811,8659
Greatest Common Factor of Numerators i.e. GCF of 6811,8659 is 7 .
LCM of Denominators means LCM of 595,2419 as per the given fractions.
LCM of 595,2419 is 1439305 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6811,8659
7 | 6811, 8659 |
973, 1237 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 6811
List of positive integer factors of 6811 that divides 6811 without a remainder.
1,7,49,139,973,6811
Factors of 8659
List of positive integer factors of 8659 that divides 8659 without a remainder.
1,7,1237,8659
Greatest Common Factor
We found the factors 6811,8659 . The biggest common factor number is the GCF number.
So the greatest common factor 6811,8659 is 7.
Lets's calculate LCM of 595,2419
Given numbers has no common factors except 1. So, there LCM is their product i.e 1439305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1439305
Therefore, the GCF of Fractions 6811/595,8659/2419 is 7/1439305
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 595,2419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,2419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,2419) x common factors =1 x 1 = 1
LCM(595,2419) = ( 595 × 2419 ) / 1
LCM(595,2419) = 1439305 / 1
LCM(595,2419) = 1439305
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 6811/595, 8659/2419?
Answer: GCF of Numerators as per given numbers 6811/595, 8659/2419 is
GCF of Numerators i.e. for 6811,8659 is 7
LCM of denominators i.e. for 595,2419 is 1439305.
Thus, GCF of Fractions is 7/1439305.Finally, GCF of Fractions for 6811/595, 8659/2419 is 7/1439305.