GCD of 421, 760, 609 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 421, 760, 609 i.e. 1 largest integer that divides all the numbers equally.

GCD of 421, 760, 609 is 1

GCD(421, 760, 609) = 1

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

GCD of

GCD of numbers 421, 760, 609 is 1

GCD(421, 760, 609) = 1

GCD of 421,760,609 Calculator

GCDof 421,760,609 is 1

Given Input numbers are 421, 760, 609

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 421, 760, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 760, 609 is 1.

Therefore, GCD of numbers 421, 760, 609 is 1

Finding GCD of 421, 760, 609 using Prime Factorization

Given Input Data is 421, 760, 609

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

Prime Factorization of 421 is 421

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 609 is 3 x 7 x 29

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

Finding GCD of 421, 760, 609 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(421, 760) = 319960

GCD(421, 760) = ( 421 x 760 ) / 319960

GCD(421, 760) = 319960 / 319960

GCD(421, 760) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 421, 760, 609 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 421, 760, 609

1. What is the GCD of 421, 760, 609?

GCD of 421, 760, 609 is 1


2. Where do I get the detailed procedure to find GCD of 421, 760, 609?

You can find a detailed procedure to find GCD of 421, 760, 609 on our page.


3. How to find GCD of 421, 760, 609 on a calculator?

You can find the GCD of 421, 760, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.