Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7307/450,6837/5059
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 7307,6837
Greatest Common Factor of Numerators i.e. GCF of 7307,6837 is 1 .
LCM of Denominators means LCM of 450,5059 as per the given fractions.
LCM of 450,5059 is 2276550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7307,6837
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7307
List of positive integer factors of 7307 that divides 7307 without a remainder.
1,7307
Factors of 6837
List of positive integer factors of 6837 that divides 6837 without a remainder.
1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 7307,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 7307,6837 is 1.
Lets's calculate LCM of 450,5059
Given numbers has no common factors except 1. So, there LCM is their product i.e 2276550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2276550
Therefore, the GCF of Fractions 7307/450,6837/5059 is 1/2276550
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 450,5059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5059) x common factors =1 x 1 = 1
LCM(450,5059) = ( 450 × 5059 ) / 1
LCM(450,5059) = 2276550 / 1
LCM(450,5059) = 2276550
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 7307/450, 6837/5059?
Answer: GCF of Numerators as per given numbers 7307/450, 6837/5059 is
GCF of Numerators i.e. for 7307,6837 is 1
LCM of denominators i.e. for 450,5059 is 2276550.
Thus, GCF of Fractions is 1/2276550.Finally, GCF of Fractions for 7307/450, 6837/5059 is 1/2276550.