Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5373/111,6689/3533
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 5373,6689
Greatest Common Factor of Numerators i.e. GCF of 5373,6689 is 1 .
LCM of Denominators means LCM of 111,3533 as per the given fractions.
LCM of 111,3533 is 392163 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5373,6689
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5373
List of positive integer factors of 5373 that divides 5373 without a remainder.
1,3,9,27,199,597,1791,5373
Factors of 6689
List of positive integer factors of 6689 that divides 6689 without a remainder.
1,6689
Greatest Common Factor
We found the factors 5373,6689 . The biggest common factor number is the GCF number.
So the greatest common factor 5373,6689 is 1.
Lets's calculate LCM of 111,3533
Given numbers has no common factors except 1. So, there LCM is their product i.e 392163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392163
Therefore, the GCF of Fractions 5373/111,6689/3533 is 1/392163
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 111,3533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,3533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,3533) x common factors =1 x 1 = 1
LCM(111,3533) = ( 111 × 3533 ) / 1
LCM(111,3533) = 392163 / 1
LCM(111,3533) = 392163
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 5373/111, 6689/3533?
Answer: GCF of Numerators as per given numbers 5373/111, 6689/3533 is
GCF of Numerators i.e. for 5373,6689 is 1
LCM of denominators i.e. for 111,3533 is 392163.
Thus, GCF of Fractions is 1/392163.Finally, GCF of Fractions for 5373/111, 6689/3533 is 1/392163.