Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6605/23,9941/699
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 6605,9941
Greatest Common Factor of Numerators i.e. GCF of 6605,9941 is 1 .
LCM of Denominators means LCM of 23,699 as per the given fractions.
LCM of 23,699 is 16077 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6605,9941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6605
List of positive integer factors of 6605 that divides 6605 without a remainder.
1,5,1321,6605
Factors of 9941
List of positive integer factors of 9941 that divides 9941 without a remainder.
1,9941
Greatest Common Factor
We found the factors 6605,9941 . The biggest common factor number is the GCF number.
So the greatest common factor 6605,9941 is 1.
Lets's calculate LCM of 23,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 16077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16077
Therefore, the GCF of Fractions 6605/23,9941/699 is 1/16077
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 23,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,699) x common factors =1 x 1 = 1
LCM(23,699) = ( 23 × 699 ) / 1
LCM(23,699) = 16077 / 1
LCM(23,699) = 16077
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 6605/23, 9941/699?
Answer: GCF of Numerators as per given numbers 6605/23, 9941/699 is
GCF of Numerators i.e. for 6605,9941 is 1
LCM of denominators i.e. for 23,699 is 16077.
Thus, GCF of Fractions is 1/16077.Finally, GCF of Fractions for 6605/23, 9941/699 is 1/16077.