Greatest Common Factor of 8370/589, 8343/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8370/589, 8343/840

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 8370/589,8343/840

Given fractions are 8370/589,8343/840

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 8370,8343

Greatest Common Factor of Numerators i.e. GCF of 8370,8343 is 27 .

LCM of Denominators means LCM of 589,840 as per the given fractions.

LCM of 589,840 is 494760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8370,8343

GCF of Fractions 8370/589,8343/840 is 27/494760

3 8370, 8343
3 2790, 2781
3 930, 927
310, 309

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 8370,8343 By Matching Biggest Common Factor Method

Greatest Common Factor of 8370,8343 By Matching Biggest Common Factor Method

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1,3,9,27,81,103,309,927,2781,8343

Greatest Common Factor

We found the factors 8370,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 8370,8343 is 27.

Lets's calculate LCM of 589,840

Given numbers has no common factors except 1. So, there LCM is their product i.e 494760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/494760

Therefore, the GCF of Fractions 8370/589,8343/840 is 27/494760

Least Common Multiple of 589,840 with GCF Formula

Least Common Multiple of 589,840 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 589,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,840) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(589,840) x common factors =1 x 1 = 1

LCM(589,840) = ( 589 × 840 ) / 1

LCM(589,840) = 494760 / 1

LCM(589,840) = 494760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8370/589, 8343/840

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 8370/589, 8343/840?

Answer: GCF of Numerators as per given numbers 8370/589, 8343/840 is

GCF of Numerators i.e. for 8370,8343 is 27

LCM of denominators i.e. for 589,840 is 494760.

Thus, GCF of Fractions is 27/494760.Finally, GCF of Fractions for 8370/589, 8343/840 is 27/494760.