Greatest Common Factor of 8387/741, 3565/9623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8387/741, 3565/9623

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8387/741,3565/9623

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

GCF of Fractions 8387/741,3565/9623 is 1/7130643

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8387,3565 By Matching Biggest Common Factor Method

Greatest Common Factor of 8387,3565 By Matching Biggest Common Factor Method

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

Least Common Multiple of 741,9623 with GCF Formula

Least Common Multiple of 741,9623 with GCF Formula

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


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8387/741, 3565/9623

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.