Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1689/417,3895/2615
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 1689,3895
Greatest Common Factor of Numerators i.e. GCF of 1689,3895 is 1 .
LCM of Denominators means LCM of 417,2615 as per the given fractions.
LCM of 417,2615 is 1090455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1689,3895
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1689
List of positive integer factors of 1689 that divides 1689 without a remainder.
1,3,563,1689
Factors of 3895
List of positive integer factors of 3895 that divides 3895 without a remainder.
1,5,19,41,95,205,779,3895
Greatest Common Factor
We found the factors 1689,3895 . The biggest common factor number is the GCF number.
So the greatest common factor 1689,3895 is 1.
Lets's calculate LCM of 417,2615
Given numbers has no common factors except 1. So, there LCM is their product i.e 1090455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1090455
Therefore, the GCF of Fractions 1689/417,3895/2615 is 1/1090455
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 417,2615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2615) x common factors =1 x 1 = 1
LCM(417,2615) = ( 417 × 2615 ) / 1
LCM(417,2615) = 1090455 / 1
LCM(417,2615) = 1090455
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 1689/417, 3895/2615?
Answer: GCF of Numerators as per given numbers 1689/417, 3895/2615 is
GCF of Numerators i.e. for 1689,3895 is 1
LCM of denominators i.e. for 417,2615 is 1090455.
Thus, GCF of Fractions is 1/1090455.Finally, GCF of Fractions for 1689/417, 3895/2615 is 1/1090455.