Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4111/598,6814/401
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 4111,6814
Greatest Common Factor of Numerators i.e. GCF of 4111,6814 is 1 .
LCM of Denominators means LCM of 598,401 as per the given fractions.
LCM of 598,401 is 239798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4111,6814
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4111
List of positive integer factors of 4111 that divides 4111 without a remainder.
1,4111
Factors of 6814
List of positive integer factors of 6814 that divides 6814 without a remainder.
1,2,3407,6814
Greatest Common Factor
We found the factors 4111,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 4111,6814 is 1.
Lets's calculate LCM of 598,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 239798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239798
Therefore, the GCF of Fractions 4111/598,6814/401 is 1/239798
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 598,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,401) x common factors =1 x 1 = 1
LCM(598,401) = ( 598 × 401 ) / 1
LCM(598,401) = 239798 / 1
LCM(598,401) = 239798
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 4111/598, 6814/401?
Answer: GCF of Numerators as per given numbers 4111/598, 6814/401 is
GCF of Numerators i.e. for 4111,6814 is 1
LCM of denominators i.e. for 598,401 is 239798.
Thus, GCF of Fractions is 1/239798.Finally, GCF of Fractions for 4111/598, 6814/401 is 1/239798.