Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6839/11,1964/906
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 6839,1964
Greatest Common Factor of Numerators i.e. GCF of 6839,1964 is 1 .
LCM of Denominators means LCM of 11,906 as per the given fractions.
LCM of 11,906 is 9966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6839,1964
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6839
List of positive integer factors of 6839 that divides 6839 without a remainder.
1,7,977,6839
Factors of 1964
List of positive integer factors of 1964 that divides 1964 without a remainder.
1,2,4,491,982,1964
Greatest Common Factor
We found the factors 6839,1964 . The biggest common factor number is the GCF number.
So the greatest common factor 6839,1964 is 1.
Lets's calculate LCM of 11,906
Given numbers has no common factors except 1. So, there LCM is their product i.e 9966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9966
Therefore, the GCF of Fractions 6839/11,1964/906 is 1/9966
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 11,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,906) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,906) x common factors =1 x 1 = 1
LCM(11,906) = ( 11 × 906 ) / 1
LCM(11,906) = 9966 / 1
LCM(11,906) = 9966
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 6839/11, 1964/906?
Answer: GCF of Numerators as per given numbers 6839/11, 1964/906 is
GCF of Numerators i.e. for 6839,1964 is 1
LCM of denominators i.e. for 11,906 is 9966.
Thus, GCF of Fractions is 1/9966.Finally, GCF of Fractions for 6839/11, 1964/906 is 1/9966.