GCD of 585, 870, 604 Calculator

Given Input numbers are 585, 870, 604

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 585, 870, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 870, 604 is 1.

Therefore, GCD of numbers 585, 870, 604 is 1

Given Input Data is 585, 870, 604

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 604 is 2 x 2 x 151

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, 870) = 33930

GCD(585, 870) = ( 585 x 870 ) / 33930

GCD(585, 870) = 508950 / 33930

GCD(585, 870) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 604

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

LCM(15, 604) = 9060

GCD(15, 604) = ( 15 x 604 ) / 9060

GCD(15, 604) = 9060 / 9060

GCD(15, 604) = 1

GCD of 585, 870, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 668, 462
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1. What is the GCD of 585, 870, 604?

GCD of 585, 870, 604 is 1

2. Where do I get the detailed procedure to find GCD of 585, 870, 604?

You can find a detailed procedure to find GCD of 585, 870, 604 on our page.

3. How to find GCD of 585, 870, 604 on a calculator?

You can find the GCD of 585, 870, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.