GCD of 590, 189, 459, 634 Calculator

Given Input numbers are 590, 189, 459, 634

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 590, 189, 459, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 189, 459, 634 is 1.

Therefore, GCD of numbers 590, 189, 459, 634 is 1

Given Input Data is 590, 189, 459, 634

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 189 is 3 x 3 x 3 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 634 is 2 x 317

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, 189) = 111510

GCD(590, 189) = ( 590 x 189 ) / 111510

GCD(590, 189) = 111510 / 111510

GCD(590, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 590, 189, 459, 634 is 1

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1. What is the GCD of 590, 189, 459, 634?

GCD of 590, 189, 459, 634 is 1

2. Where do I get the detailed procedure to find GCD of 590, 189, 459, 634?

You can find a detailed procedure to find GCD of 590, 189, 459, 634 on our page.

3. How to find GCD of 590, 189, 459, 634 on a calculator?

You can find the GCD of 590, 189, 459, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.