Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1659/335,9191/1569
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 1659,9191
Greatest Common Factor of Numerators i.e. GCF of 1659,9191 is 7 .
LCM of Denominators means LCM of 335,1569 as per the given fractions.
LCM of 335,1569 is 525615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1659,9191
7 | 1659, 9191 |
237, 1313 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 1659
List of positive integer factors of 1659 that divides 1659 without a remainder.
1,3,7,21,79,237,553,1659
Factors of 9191
List of positive integer factors of 9191 that divides 9191 without a remainder.
1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 1659,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 1659,9191 is 7.
Lets's calculate LCM of 335,1569
Given numbers has no common factors except 1. So, there LCM is their product i.e 525615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/525615
Therefore, the GCF of Fractions 1659/335,9191/1569 is 7/525615
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 335,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,1569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,1569) x common factors =1 x 1 = 1
LCM(335,1569) = ( 335 × 1569 ) / 1
LCM(335,1569) = 525615 / 1
LCM(335,1569) = 525615
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 1659/335, 9191/1569?
Answer: GCF of Numerators as per given numbers 1659/335, 9191/1569 is
GCF of Numerators i.e. for 1659,9191 is 7
LCM of denominators i.e. for 335,1569 is 525615.
Thus, GCF of Fractions is 7/525615.Finally, GCF of Fractions for 1659/335, 9191/1569 is 7/525615.