GCD of 580, 520, 165, 585 Calculator

Given Input numbers are 580, 520, 165, 585

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 580, 520, 165, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 520, 165, 585 is 5.

Therefore, GCD of numbers 580, 520, 165, 585 is 5

Given Input Data is 580, 520, 165, 585

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 165 is 3 x 5 x 11

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(580, 520) = 15080

GCD(580, 520) = ( 580 x 520 ) / 15080

GCD(580, 520) = 301600 / 15080

GCD(580, 520) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 165

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

LCM(20, 165) = 660

GCD(20, 165) = ( 20 x 165 ) / 660

GCD(20, 165) = 3300 / 660

GCD(20, 165) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 585

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

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

GCD(5, 585) = 2925 / 585

GCD(5, 585) = 5

GCD of 580, 520, 165, 585 is 5

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1. What is the GCD of 580, 520, 165, 585?

GCD of 580, 520, 165, 585 is 5

2. Where do I get the detailed procedure to find GCD of 580, 520, 165, 585?

You can find a detailed procedure to find GCD of 580, 520, 165, 585 on our page.

3. How to find GCD of 580, 520, 165, 585 on a calculator?

You can find the GCD of 580, 520, 165, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.