GCD of 423, 409, 11 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 423, 409, 11 i.e. 1 largest integer that divides all the numbers equally.

GCD of 423, 409, 11 is 1

GCD(423, 409, 11) = 1

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

GCD of

GCD of numbers 423, 409, 11 is 1

GCD(423, 409, 11) = 1

GCD of 423,409,11 Calculator

GCDof 423,409,11 is 1

Given Input numbers are 423, 409, 11

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Greatest Common Divisior

We found the divisors of 423, 409, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 409, 11 is 1.

Therefore, GCD of numbers 423, 409, 11 is 1

Finding GCD of 423, 409, 11 using Prime Factorization

Given Input Data is 423, 409, 11

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 409 is 409

Prime Factorization of 11 is 11

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

Finding GCD of 423, 409, 11 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(423, 409) = 173007

GCD(423, 409) = ( 423 x 409 ) / 173007

GCD(423, 409) = 173007 / 173007

GCD(423, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

GCD of 423, 409, 11 is 1

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FAQs on GCD of numbers 423, 409, 11

1. What is the GCD of 423, 409, 11?

GCD of 423, 409, 11 is 1

2. Where do I get the detailed procedure to find GCD of 423, 409, 11?

You can find a detailed procedure to find GCD of 423, 409, 11 on our page.

3. How to find GCD of 423, 409, 11 on a calculator?

You can find the GCD of 423, 409, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.