Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2047/987,3244/6887
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 2047,3244
Greatest Common Factor of Numerators i.e. GCF of 2047,3244 is 1 .
LCM of Denominators means LCM of 987,6887 as per the given fractions.
LCM of 987,6887 is 6797469 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2047,3244
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2047
List of positive integer factors of 2047 that divides 2047 without a remainder.
1,23,89,2047
Factors of 3244
List of positive integer factors of 3244 that divides 3244 without a remainder.
1,2,4,811,1622,3244
Greatest Common Factor
We found the factors 2047,3244 . The biggest common factor number is the GCF number.
So the greatest common factor 2047,3244 is 1.
Lets's calculate LCM of 987,6887
Given numbers has no common factors except 1. So, there LCM is their product i.e 6797469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6797469
Therefore, the GCF of Fractions 2047/987,3244/6887 is 1/6797469
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 987,6887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,6887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,6887) x common factors =1 x 1 = 1
LCM(987,6887) = ( 987 × 6887 ) / 1
LCM(987,6887) = 6797469 / 1
LCM(987,6887) = 6797469
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 2047/987, 3244/6887?
Answer: GCF of Numerators as per given numbers 2047/987, 3244/6887 is
GCF of Numerators i.e. for 2047,3244 is 1
LCM of denominators i.e. for 987,6887 is 6797469.
Thus, GCF of Fractions is 1/6797469.Finally, GCF of Fractions for 2047/987, 3244/6887 is 1/6797469.