GCD of 585, 561, 557, 362 Calculator

Given Input numbers are 585, 561, 557, 362

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 585, 561, 557, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 561, 557, 362 is 1.

Therefore, GCD of numbers 585, 561, 557, 362 is 1

Given Input Data is 585, 561, 557, 362

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 561 is 3 x 11 x 17

Prime Factorization of 557 is 557

Prime Factorization of 362 is 2 x 181

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, 561) = 109395

GCD(585, 561) = ( 585 x 561 ) / 109395

GCD(585, 561) = 328185 / 109395

GCD(585, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 557

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

LCM(3, 557) = 1671

GCD(3, 557) = ( 3 x 557 ) / 1671

GCD(3, 557) = 1671 / 1671

GCD(3, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 585, 561, 557, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 995, 510, 852
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• GCD of 365, 183, 965, 360

1. What is the GCD of 585, 561, 557, 362?

GCD of 585, 561, 557, 362 is 1

2. Where do I get the detailed procedure to find GCD of 585, 561, 557, 362?

You can find a detailed procedure to find GCD of 585, 561, 557, 362 on our page.

3. How to find GCD of 585, 561, 557, 362 on a calculator?

You can find the GCD of 585, 561, 557, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.