GCD of 590, 442, 20, 471 Calculator

Given Input numbers are 590, 442, 20, 471

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 590, 442, 20, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 442, 20, 471 is 1.

Therefore, GCD of numbers 590, 442, 20, 471 is 1

Given Input Data is 590, 442, 20, 471

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 471 is 3 x 157

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(590, 442) = 130390

GCD(590, 442) = ( 590 x 442 ) / 130390

GCD(590, 442) = 260780 / 130390

GCD(590, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 590, 442, 20, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 722, 79, 256
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• GCD of 750, 358, 49, 142

1. What is the GCD of 590, 442, 20, 471?

GCD of 590, 442, 20, 471 is 1

2. Where do I get the detailed procedure to find GCD of 590, 442, 20, 471?

You can find a detailed procedure to find GCD of 590, 442, 20, 471 on our page.

3. How to find GCD of 590, 442, 20, 471 on a calculator?

You can find the GCD of 590, 442, 20, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.