Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6171/414,1799/2296
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 6171,1799
Greatest Common Factor of Numerators i.e. GCF of 6171,1799 is 1 .
LCM of Denominators means LCM of 414,2296 as per the given fractions.
LCM of 414,2296 is 475272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6171,1799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6171
List of positive integer factors of 6171 that divides 6171 without a remainder.
1,3,11,17,33,51,121,187,363,561,2057,6171
Factors of 1799
List of positive integer factors of 1799 that divides 1799 without a remainder.
1,7,257,1799
Greatest Common Factor
We found the factors 6171,1799 . The biggest common factor number is the GCF number.
So the greatest common factor 6171,1799 is 1.
Lets's calculate LCM of 414,2296
2 | 414, 2296 |
207, 1148 |
∴ So the LCM of the given numbers is 2 x 207 x 1148 = 475272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475272
Therefore, the GCF of Fractions 6171/414,1799/2296 is 1/475272
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 414,2296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,2296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,2296) x common factors =2 x 1 = 2
LCM(414,2296) = ( 414 × 2296 ) / 2
LCM(414,2296) = 950544 / 2
LCM(414,2296) = 475272
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 6171/414, 1799/2296?
Answer: GCF of Numerators as per given numbers 6171/414, 1799/2296 is
GCF of Numerators i.e. for 6171,1799 is 1
LCM of denominators i.e. for 414,2296 is 475272.
Thus, GCF of Fractions is 1/475272.Finally, GCF of Fractions for 6171/414, 1799/2296 is 1/475272.