GCD of 573, 309, 27 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 573, 309, 27 i.e. 3 largest integer that divides all the numbers equally.

GCD of 573, 309, 27 is 3

GCD(573, 309, 27) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 573, 309, 27 is 3

GCD(573, 309, 27) = 3

GCD of 573,309,27 Calculator

GCDof 573,309,27 is 3

Given Input numbers are 573, 309, 27

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 573, 309, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 309, 27 is 3.

Therefore, GCD of numbers 573, 309, 27 is 3

Finding GCD of 573, 309, 27 using Prime Factorization

Given Input Data is 573, 309, 27

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 573 is 3 x 191

Prime Factorization of 309 is 3 x 103

Prime Factorization of 27 is 3 x 3 x 3

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 573, 309, 27 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(573, 309) = 59019

GCD(573, 309) = ( 573 x 309 ) / 59019

GCD(573, 309) = 177057 / 59019

GCD(573, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

GCD of 573, 309, 27 is 3

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FAQs on GCD of numbers 573, 309, 27

1. What is the GCD of 573, 309, 27?

GCD of 573, 309, 27 is 3

2. Where do I get the detailed procedure to find GCD of 573, 309, 27?

You can find a detailed procedure to find GCD of 573, 309, 27 on our page.

3. How to find GCD of 573, 309, 27 on a calculator?

You can find the GCD of 573, 309, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.