Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 367/16,4065/403
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 367,4065
Greatest Common Factor of Numerators i.e. GCF of 367,4065 is 1 .
LCM of Denominators means LCM of 16,403 as per the given fractions.
LCM of 16,403 is 6448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 367,4065
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 4065
List of positive integer factors of 4065 that divides 4065 without a remainder.
1,3,5,15,271,813,1355,4065
Greatest Common Factor
We found the factors 367,4065 . The biggest common factor number is the GCF number.
So the greatest common factor 367,4065 is 1.
Lets's calculate LCM of 16,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 6448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6448
Therefore, the GCF of Fractions 367/16,4065/403 is 1/6448
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 16,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,403) x common factors =1 x 1 = 1
LCM(16,403) = ( 16 × 403 ) / 1
LCM(16,403) = 6448 / 1
LCM(16,403) = 6448
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 367/16, 4065/403?
Answer: GCF of Numerators as per given numbers 367/16, 4065/403 is
GCF of Numerators i.e. for 367,4065 is 1
LCM of denominators i.e. for 16,403 is 6448.
Thus, GCF of Fractions is 1/6448.Finally, GCF of Fractions for 367/16, 4065/403 is 1/6448.