GCD of 509, 412, 397 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 509, 412, 397 i.e. 1 largest integer that divides all the numbers equally.

GCD of 509, 412, 397 is 1

GCD(509, 412, 397) = 1

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

GCD of

GCD of numbers 509, 412, 397 is 1

GCD(509, 412, 397) = 1

GCD of 509,412,397 Calculator

GCDof 509,412,397 is 1

Given Input numbers are 509, 412, 397

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 509, 412, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 412, 397 is 1.

Therefore, GCD of numbers 509, 412, 397 is 1

Finding GCD of 509, 412, 397 using Prime Factorization

Given Input Data is 509, 412, 397

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

Prime Factorization of 509 is 509

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 397 is 397

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

Finding GCD of 509, 412, 397 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(509, 412) = 209708

GCD(509, 412) = ( 509 x 412 ) / 209708

GCD(509, 412) = 209708 / 209708

GCD(509, 412) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 509, 412, 397 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 509, 412, 397

1. What is the GCD of 509, 412, 397?

GCD of 509, 412, 397 is 1


2. Where do I get the detailed procedure to find GCD of 509, 412, 397?

You can find a detailed procedure to find GCD of 509, 412, 397 on our page.


3. How to find GCD of 509, 412, 397 on a calculator?

You can find the GCD of 509, 412, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.