GCD of 165, 213, 509 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 165, 213, 509 i.e. 1 largest integer that divides all the numbers equally.

GCD of 165, 213, 509 is 1

GCD(165, 213, 509) = 1

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

GCD of

GCD of numbers 165, 213, 509 is 1

GCD(165, 213, 509) = 1

GCD of 165,213,509 Calculator

GCDof 165,213,509 is 1

Given Input numbers are 165, 213, 509

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 165, 213, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 213, 509 is 1.

Therefore, GCD of numbers 165, 213, 509 is 1

Finding GCD of 165, 213, 509 using Prime Factorization

Given Input Data is 165, 213, 509

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 213 is 3 x 71

Prime Factorization of 509 is 509

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

Finding GCD of 165, 213, 509 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(165, 213) = 11715

GCD(165, 213) = ( 165 x 213 ) / 11715

GCD(165, 213) = 35145 / 11715

GCD(165, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 509

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

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

GCD(3, 509) = 1527 / 1527

GCD(3, 509) = 1

GCD of 165, 213, 509 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 165, 213, 509

1. What is the GCD of 165, 213, 509?

GCD of 165, 213, 509 is 1

2. Where do I get the detailed procedure to find GCD of 165, 213, 509?

You can find a detailed procedure to find GCD of 165, 213, 509 on our page.

3. How to find GCD of 165, 213, 509 on a calculator?

You can find the GCD of 165, 213, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.