Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9339/16,2483/745
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 9339,2483
Greatest Common Factor of Numerators i.e. GCF of 9339,2483 is 1 .
LCM of Denominators means LCM of 16,745 as per the given fractions.
LCM of 16,745 is 11920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9339,2483
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9339
List of positive integer factors of 9339 that divides 9339 without a remainder.
1,3,11,33,283,849,3113,9339
Factors of 2483
List of positive integer factors of 2483 that divides 2483 without a remainder.
1,13,191,2483
Greatest Common Factor
We found the factors 9339,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 9339,2483 is 1.
Lets's calculate LCM of 16,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 11920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11920
Therefore, the GCF of Fractions 9339/16,2483/745 is 1/11920
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 16,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,745) x common factors =1 x 1 = 1
LCM(16,745) = ( 16 × 745 ) / 1
LCM(16,745) = 11920 / 1
LCM(16,745) = 11920
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 9339/16, 2483/745?
Answer: GCF of Numerators as per given numbers 9339/16, 2483/745 is
GCF of Numerators i.e. for 9339,2483 is 1
LCM of denominators i.e. for 16,745 is 11920.
Thus, GCF of Fractions is 1/11920.Finally, GCF of Fractions for 9339/16, 2483/745 is 1/11920.