GCD of 505, 561, 585 Calculator

Given Input numbers are 505, 561, 585

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 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

Greatest Common Divisior

We found the divisors of 505, 561, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 561, 585 is 1.

Therefore, GCD of numbers 505, 561, 585 is 1

Given Input Data is 505, 561, 585

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 561 is 3 x 11 x 17

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

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(505, 561) = 283305

GCD(505, 561) = ( 505 x 561 ) / 283305

GCD(505, 561) = 283305 / 283305

GCD(505, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 505, 561, 585 is 1

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1. What is the GCD of 505, 561, 585?

GCD of 505, 561, 585 is 1

2. Where do I get the detailed procedure to find GCD of 505, 561, 585?

You can find a detailed procedure to find GCD of 505, 561, 585 on our page.

3. How to find GCD of 505, 561, 585 on a calculator?

You can find the GCD of 505, 561, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.