GCD of 585, 296, 493 Calculator

Given Input numbers are 585, 296, 493

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 585, 296, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 296, 493 is 1.

Therefore, GCD of numbers 585, 296, 493 is 1

Given Input Data is 585, 296, 493

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 493 is 17 x 29

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

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(585, 296) = 173160

GCD(585, 296) = ( 585 x 296 ) / 173160

GCD(585, 296) = 173160 / 173160

GCD(585, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 585, 296, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 105, 978
• GCD of 115, 335, 558
• GCD of 946, 256, 383
• GCD of 971, 301, 572
• GCD of 497, 983, 144

1. What is the GCD of 585, 296, 493?

GCD of 585, 296, 493 is 1

2. Where do I get the detailed procedure to find GCD of 585, 296, 493?

You can find a detailed procedure to find GCD of 585, 296, 493 on our page.

3. How to find GCD of 585, 296, 493 on a calculator?

You can find the GCD of 585, 296, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.