GCD of 580, 576, 37, 586 Calculator

Given Input numbers are 580, 576, 37, 586

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 580, 576, 37, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 576, 37, 586 is 1.

Therefore, GCD of numbers 580, 576, 37, 586 is 1

Given Input Data is 580, 576, 37, 586

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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 37 is 37

Prime Factorization of 586 is 2 x 293

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(580, 576) = 83520

GCD(580, 576) = ( 580 x 576 ) / 83520

GCD(580, 576) = 334080 / 83520

GCD(580, 576) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 580, 576, 37, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 334, 62, 396
• GCD of 268, 174, 23, 297
• GCD of 206, 942, 63, 311
• GCD of 478, 595, 99, 890
• GCD of 293, 134, 47, 324

1. What is the GCD of 580, 576, 37, 586?

GCD of 580, 576, 37, 586 is 1

2. Where do I get the detailed procedure to find GCD of 580, 576, 37, 586?

You can find a detailed procedure to find GCD of 580, 576, 37, 586 on our page.

3. How to find GCD of 580, 576, 37, 586 on a calculator?

You can find the GCD of 580, 576, 37, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.