Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2638/328,4409/8197
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 2638,4409
Greatest Common Factor of Numerators i.e. GCF of 2638,4409 is 1 .
LCM of Denominators means LCM of 328,8197 as per the given fractions.
LCM of 328,8197 is 2688616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2638,4409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2638
List of positive integer factors of 2638 that divides 2638 without a remainder.
1,2,1319,2638
Factors of 4409
List of positive integer factors of 4409 that divides 4409 without a remainder.
1,4409
Greatest Common Factor
We found the factors 2638,4409 . The biggest common factor number is the GCF number.
So the greatest common factor 2638,4409 is 1.
Lets's calculate LCM of 328,8197
Given numbers has no common factors except 1. So, there LCM is their product i.e 2688616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2688616
Therefore, the GCF of Fractions 2638/328,4409/8197 is 1/2688616
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 328,8197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,8197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,8197) x common factors =1 x 1 = 1
LCM(328,8197) = ( 328 × 8197 ) / 1
LCM(328,8197) = 2688616 / 1
LCM(328,8197) = 2688616
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 2638/328, 4409/8197?
Answer: GCF of Numerators as per given numbers 2638/328, 4409/8197 is
GCF of Numerators i.e. for 2638,4409 is 1
LCM of denominators i.e. for 328,8197 is 2688616.
Thus, GCF of Fractions is 1/2688616.Finally, GCF of Fractions for 2638/328, 4409/8197 is 1/2688616.