Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8387/741,3565/9623
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 8387,3565
Greatest Common Factor of Numerators i.e. GCF of 8387,3565 is 1 .
LCM of Denominators means LCM of 741,9623 as per the given fractions.
LCM of 741,9623 is 7130643 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8387,3565
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8387
List of positive integer factors of 8387 that divides 8387 without a remainder.
1,8387
Factors of 3565
List of positive integer factors of 3565 that divides 3565 without a remainder.
1,5,23,31,115,155,713,3565
Greatest Common Factor
We found the factors 8387,3565 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,3565 is 1.
Lets's calculate LCM of 741,9623
Given numbers has no common factors except 1. So, there LCM is their product i.e 7130643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7130643
Therefore, the GCF of Fractions 8387/741,3565/9623 is 1/7130643
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 741,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,9623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,9623) x common factors =1 x 1 = 1
LCM(741,9623) = ( 741 × 9623 ) / 1
LCM(741,9623) = 7130643 / 1
LCM(741,9623) = 7130643
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 8387/741, 3565/9623?
Answer: GCF of Numerators as per given numbers 8387/741, 3565/9623 is
GCF of Numerators i.e. for 8387,3565 is 1
LCM of denominators i.e. for 741,9623 is 7130643.
Thus, GCF of Fractions is 1/7130643.Finally, GCF of Fractions for 8387/741, 3565/9623 is 1/7130643.