GCD of 523, 393, 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 523, 393, 27 i.e. 1 largest integer that divides all the numbers equally.

GCD of 523, 393, 27 is 1

GCD(523, 393, 27) = 1

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

GCD of

GCD of numbers 523, 393, 27 is 1

GCD(523, 393, 27) = 1

GCD of 523,393,27 Calculator

GCDof 523,393,27 is 1

Given Input numbers are 523, 393, 27

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 523, 393, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 393, 27 is 1.

Therefore, GCD of numbers 523, 393, 27 is 1

Finding GCD of 523, 393, 27 using Prime Factorization

Given Input Data is 523, 393, 27

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

Prime Factorization of 523 is 523

Prime Factorization of 393 is 3 x 131

Prime Factorization of 27 is 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 523, 393, 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(523, 393) = 205539

GCD(523, 393) = ( 523 x 393 ) / 205539

GCD(523, 393) = 205539 / 205539

GCD(523, 393) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

GCD of 523, 393, 27 is 1

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FAQs on GCD of numbers 523, 393, 27

1. What is the GCD of 523, 393, 27?

GCD of 523, 393, 27 is 1

2. Where do I get the detailed procedure to find GCD of 523, 393, 27?

You can find a detailed procedure to find GCD of 523, 393, 27 on our page.

3. How to find GCD of 523, 393, 27 on a calculator?

You can find the GCD of 523, 393, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.