GCD of 363, 545, 585 Calculator

Given Input numbers are 363, 545, 585

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

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 363, 545, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 545, 585 is 1.

Therefore, GCD of numbers 363, 545, 585 is 1

Given Input Data is 363, 545, 585

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 545 is 5 x 109

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(363, 545) = 197835

GCD(363, 545) = ( 363 x 545 ) / 197835

GCD(363, 545) = 197835 / 197835

GCD(363, 545) = 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 363, 545, 585 is 1

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• GCD of 772, 899, 898
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• GCD of 268, 120, 241

1. What is the GCD of 363, 545, 585?

GCD of 363, 545, 585 is 1

2. Where do I get the detailed procedure to find GCD of 363, 545, 585?

You can find a detailed procedure to find GCD of 363, 545, 585 on our page.

3. How to find GCD of 363, 545, 585 on a calculator?

You can find the GCD of 363, 545, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.