Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9377/644,7218/8593
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 9377,7218
Greatest Common Factor of Numerators i.e. GCF of 9377,7218 is 1 .
LCM of Denominators means LCM of 644,8593 as per the given fractions.
LCM of 644,8593 is 5533892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9377,7218
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9377
List of positive integer factors of 9377 that divides 9377 without a remainder.
1,9377
Factors of 7218
List of positive integer factors of 7218 that divides 7218 without a remainder.
1,2,3,6,9,18,401,802,1203,2406,3609,7218
Greatest Common Factor
We found the factors 9377,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 9377,7218 is 1.
Lets's calculate LCM of 644,8593
Given numbers has no common factors except 1. So, there LCM is their product i.e 5533892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5533892
Therefore, the GCF of Fractions 9377/644,7218/8593 is 1/5533892
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 644,8593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,8593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,8593) x common factors =1 x 1 = 1
LCM(644,8593) = ( 644 × 8593 ) / 1
LCM(644,8593) = 5533892 / 1
LCM(644,8593) = 5533892
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 9377/644, 7218/8593?
Answer: GCF of Numerators as per given numbers 9377/644, 7218/8593 is
GCF of Numerators i.e. for 9377,7218 is 1
LCM of denominators i.e. for 644,8593 is 5533892.
Thus, GCF of Fractions is 1/5533892.Finally, GCF of Fractions for 9377/644, 7218/8593 is 1/5533892.