Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7339/223,6639/6097
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 7339,6639
Greatest Common Factor of Numerators i.e. GCF of 7339,6639 is 1 .
LCM of Denominators means LCM of 223,6097 as per the given fractions.
LCM of 223,6097 is 1359631 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7339,6639
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7339
List of positive integer factors of 7339 that divides 7339 without a remainder.
1,41,179,7339
Factors of 6639
List of positive integer factors of 6639 that divides 6639 without a remainder.
1,3,2213,6639
Greatest Common Factor
We found the factors 7339,6639 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,6639 is 1.
Lets's calculate LCM of 223,6097
Given numbers has no common factors except 1. So, there LCM is their product i.e 1359631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1359631
Therefore, the GCF of Fractions 7339/223,6639/6097 is 1/1359631
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 223,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,6097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,6097) x common factors =1 x 1 = 1
LCM(223,6097) = ( 223 × 6097 ) / 1
LCM(223,6097) = 1359631 / 1
LCM(223,6097) = 1359631
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 7339/223, 6639/6097?
Answer: GCF of Numerators as per given numbers 7339/223, 6639/6097 is
GCF of Numerators i.e. for 7339,6639 is 1
LCM of denominators i.e. for 223,6097 is 1359631.
Thus, GCF of Fractions is 1/1359631.Finally, GCF of Fractions for 7339/223, 6639/6097 is 1/1359631.