Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1610/339,9127/6826
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 1610,9127
Greatest Common Factor of Numerators i.e. GCF of 1610,9127 is 1 .
LCM of Denominators means LCM of 339,6826 as per the given fractions.
LCM of 339,6826 is 2314014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1610,9127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1610
List of positive integer factors of 1610 that divides 1610 without a remainder.
1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Factors of 9127
List of positive integer factors of 9127 that divides 9127 without a remainder.
1,9127
Greatest Common Factor
We found the factors 1610,9127 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,9127 is 1.
Lets's calculate LCM of 339,6826
Given numbers has no common factors except 1. So, there LCM is their product i.e 2314014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2314014
Therefore, the GCF of Fractions 1610/339,9127/6826 is 1/2314014
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 339,6826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,6826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,6826) x common factors =1 x 1 = 1
LCM(339,6826) = ( 339 × 6826 ) / 1
LCM(339,6826) = 2314014 / 1
LCM(339,6826) = 2314014
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 1610/339, 9127/6826?
Answer: GCF of Numerators as per given numbers 1610/339, 9127/6826 is
GCF of Numerators i.e. for 1610,9127 is 1
LCM of denominators i.e. for 339,6826 is 2314014.
Thus, GCF of Fractions is 1/2314014.Finally, GCF of Fractions for 1610/339, 9127/6826 is 1/2314014.