Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6439/684,4330/191
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 6439,4330
Greatest Common Factor of Numerators i.e. GCF of 6439,4330 is 1 .
LCM of Denominators means LCM of 684,191 as per the given fractions.
LCM of 684,191 is 130644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6439,4330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1,47,137,6439
Factors of 4330
List of positive integer factors of 4330 that divides 4330 without a remainder.
1,2,5,10,433,866,2165,4330
Greatest Common Factor
We found the factors 6439,4330 . The biggest common factor number is the GCF number.
So the greatest common factor 6439,4330 is 1.
Lets's calculate LCM of 684,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 130644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130644
Therefore, the GCF of Fractions 6439/684,4330/191 is 1/130644
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 684,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,191) x common factors =1 x 1 = 1
LCM(684,191) = ( 684 × 191 ) / 1
LCM(684,191) = 130644 / 1
LCM(684,191) = 130644
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 6439/684, 4330/191?
Answer: GCF of Numerators as per given numbers 6439/684, 4330/191 is
GCF of Numerators i.e. for 6439,4330 is 1
LCM of denominators i.e. for 684,191 is 130644.
Thus, GCF of Fractions is 1/130644.Finally, GCF of Fractions for 6439/684, 4330/191 is 1/130644.