GCD of 590, 231, 652, 649 Calculator

Given Input numbers are 590, 231, 652, 649

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 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 590, 231, 652, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 231, 652, 649 is 1.

Therefore, GCD of numbers 590, 231, 652, 649 is 1

Given Input Data is 590, 231, 652, 649

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 231 is 3 x 7 x 11

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 649 is 11 x 59

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, 231) = 136290

GCD(590, 231) = ( 590 x 231 ) / 136290

GCD(590, 231) = 136290 / 136290

GCD(590, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 590, 231, 652, 649 is 1

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1. What is the GCD of 590, 231, 652, 649?

GCD of 590, 231, 652, 649 is 1

2. Where do I get the detailed procedure to find GCD of 590, 231, 652, 649?

You can find a detailed procedure to find GCD of 590, 231, 652, 649 on our page.

3. How to find GCD of 590, 231, 652, 649 on a calculator?

You can find the GCD of 590, 231, 652, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.