Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6387/328,5557/365
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 6387,5557
Greatest Common Factor of Numerators i.e. GCF of 6387,5557 is 1 .
LCM of Denominators means LCM of 328,365 as per the given fractions.
LCM of 328,365 is 119720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6387,5557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6387
List of positive integer factors of 6387 that divides 6387 without a remainder.
1,3,2129,6387
Factors of 5557
List of positive integer factors of 5557 that divides 5557 without a remainder.
1,5557
Greatest Common Factor
We found the factors 6387,5557 . The biggest common factor number is the GCF number.
So the greatest common factor 6387,5557 is 1.
Lets's calculate LCM of 328,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 119720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119720
Therefore, the GCF of Fractions 6387/328,5557/365 is 1/119720
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 328,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,365) x common factors =1 x 1 = 1
LCM(328,365) = ( 328 × 365 ) / 1
LCM(328,365) = 119720 / 1
LCM(328,365) = 119720
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 6387/328, 5557/365?
Answer: GCF of Numerators as per given numbers 6387/328, 5557/365 is
GCF of Numerators i.e. for 6387,5557 is 1
LCM of denominators i.e. for 328,365 is 119720.
Thus, GCF of Fractions is 1/119720.Finally, GCF of Fractions for 6387/328, 5557/365 is 1/119720.