Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4001/208,8115/3365
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 4001,8115
Greatest Common Factor of Numerators i.e. GCF of 4001,8115 is 1 .
LCM of Denominators means LCM of 208,3365 as per the given fractions.
LCM of 208,3365 is 699920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4001,8115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4001
List of positive integer factors of 4001 that divides 4001 without a remainder.
1,4001
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1,3,5,15,541,1623,2705,8115
Greatest Common Factor
We found the factors 4001,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,8115 is 1.
Lets's calculate LCM of 208,3365
Given numbers has no common factors except 1. So, there LCM is their product i.e 699920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699920
Therefore, the GCF of Fractions 4001/208,8115/3365 is 1/699920
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 208,3365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,3365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,3365) x common factors =1 x 1 = 1
LCM(208,3365) = ( 208 × 3365 ) / 1
LCM(208,3365) = 699920 / 1
LCM(208,3365) = 699920
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 4001/208, 8115/3365?
Answer: GCF of Numerators as per given numbers 4001/208, 8115/3365 is
GCF of Numerators i.e. for 4001,8115 is 1
LCM of denominators i.e. for 208,3365 is 699920.
Thus, GCF of Fractions is 1/699920.Finally, GCF of Fractions for 4001/208, 8115/3365 is 1/699920.