Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7339/29,3954/973
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 7339,3954
Greatest Common Factor of Numerators i.e. GCF of 7339,3954 is 1 .
LCM of Denominators means LCM of 29,973 as per the given fractions.
LCM of 29,973 is 28217 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7339,3954
∴ 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 3954
List of positive integer factors of 3954 that divides 3954 without a remainder.
1,2,3,6,659,1318,1977,3954
Greatest Common Factor
We found the factors 7339,3954 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,3954 is 1.
Lets's calculate LCM of 29,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 28217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28217
Therefore, the GCF of Fractions 7339/29,3954/973 is 1/28217
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 29,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,973) x common factors =1 x 1 = 1
LCM(29,973) = ( 29 × 973 ) / 1
LCM(29,973) = 28217 / 1
LCM(29,973) = 28217
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 7339/29, 3954/973?
Answer: GCF of Numerators as per given numbers 7339/29, 3954/973 is
GCF of Numerators i.e. for 7339,3954 is 1
LCM of denominators i.e. for 29,973 is 28217.
Thus, GCF of Fractions is 1/28217.Finally, GCF of Fractions for 7339/29, 3954/973 is 1/28217.