GCD of 589, 500, 53, 460 Calculator

Given Input numbers are 589, 500, 53, 460

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 589, 500, 53, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 500, 53, 460 is 1.

Therefore, GCD of numbers 589, 500, 53, 460 is 1

Given Input Data is 589, 500, 53, 460

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 53 is 53

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(589, 500) = 294500

GCD(589, 500) = ( 589 x 500 ) / 294500

GCD(589, 500) = 294500 / 294500

GCD(589, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 589, 500, 53, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 182, 66, 700
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• GCD of 152, 653, 43, 868
• GCD of 395, 948, 29, 231
• GCD of 948, 890, 20, 730

1. What is the GCD of 589, 500, 53, 460?

GCD of 589, 500, 53, 460 is 1

2. Where do I get the detailed procedure to find GCD of 589, 500, 53, 460?

You can find a detailed procedure to find GCD of 589, 500, 53, 460 on our page.

3. How to find GCD of 589, 500, 53, 460 on a calculator?

You can find the GCD of 589, 500, 53, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.