Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3393/65,7327/942
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 3393,7327
Greatest Common Factor of Numerators i.e. GCF of 3393,7327 is 1 .
LCM of Denominators means LCM of 65,942 as per the given fractions.
LCM of 65,942 is 61230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3393,7327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3393
List of positive integer factors of 3393 that divides 3393 without a remainder.
1,3,9,13,29,39,87,117,261,377,1131,3393
Factors of 7327
List of positive integer factors of 7327 that divides 7327 without a remainder.
1,17,431,7327
Greatest Common Factor
We found the factors 3393,7327 . The biggest common factor number is the GCF number.
So the greatest common factor 3393,7327 is 1.
Lets's calculate LCM of 65,942
Given numbers has no common factors except 1. So, there LCM is their product i.e 61230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61230
Therefore, the GCF of Fractions 3393/65,7327/942 is 1/61230
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 65,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,942) x common factors =1 x 1 = 1
LCM(65,942) = ( 65 × 942 ) / 1
LCM(65,942) = 61230 / 1
LCM(65,942) = 61230
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 3393/65, 7327/942?
Answer: GCF of Numerators as per given numbers 3393/65, 7327/942 is
GCF of Numerators i.e. for 3393,7327 is 1
LCM of denominators i.e. for 65,942 is 61230.
Thus, GCF of Fractions is 1/61230.Finally, GCF of Fractions for 3393/65, 7327/942 is 1/61230.