GCD of 724, 188, 155, 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 724, 188, 155, 609 i.e. 1 largest integer that divides all the numbers equally.

GCD of 724, 188, 155, 609 is 1

GCD(724, 188, 155, 609) = 1

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

GCD of

GCD of numbers 724, 188, 155, 609 is 1

GCD(724, 188, 155, 609) = 1

GCD of 724,188,155,609 Calculator

GCDof 724,188,155,609 is 1

Given Input numbers are 724, 188, 155, 609

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

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 724, 188, 155, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 188, 155, 609 is 1.

Therefore, GCD of numbers 724, 188, 155, 609 is 1

Finding GCD of 724, 188, 155, 609 using Prime Factorization

Given Input Data is 724, 188, 155, 609

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 155 is 5 x 31

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 724, 188, 155, 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(724, 188) = 34028

GCD(724, 188) = ( 724 x 188 ) / 34028

GCD(724, 188) = 136112 / 34028

GCD(724, 188) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 155

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

LCM(4, 155) = 620

GCD(4, 155) = ( 4 x 155 ) / 620

GCD(4, 155) = 620 / 620

GCD(4, 155) = 1


Step3:

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 724, 188, 155, 609 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 724, 188, 155, 609

1. What is the GCD of 724, 188, 155, 609?

GCD of 724, 188, 155, 609 is 1


2. Where do I get the detailed procedure to find GCD of 724, 188, 155, 609?

You can find a detailed procedure to find GCD of 724, 188, 155, 609 on our page.


3. How to find GCD of 724, 188, 155, 609 on a calculator?

You can find the GCD of 724, 188, 155, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.