GCD of 585, 334, 870 Calculator

Given Input numbers are 585, 334, 870

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

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

Greatest Common Divisior

We found the divisors of 585, 334, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 334, 870 is 1.

Therefore, GCD of numbers 585, 334, 870 is 1

Given Input Data is 585, 334, 870

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 334 is 2 x 167

Prime Factorization of 870 is 2 x 3 x 5 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, 334) = 195390

GCD(585, 334) = ( 585 x 334 ) / 195390

GCD(585, 334) = 195390 / 195390

GCD(585, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 585, 334, 870 is 1

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• GCD of 905, 160, 349
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1. What is the GCD of 585, 334, 870?

GCD of 585, 334, 870 is 1

2. Where do I get the detailed procedure to find GCD of 585, 334, 870?

You can find a detailed procedure to find GCD of 585, 334, 870 on our page.

3. How to find GCD of 585, 334, 870 on a calculator?

You can find the GCD of 585, 334, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.