GCD of 23, 686, 586, 321 Calculator

Given Input numbers are 23, 686, 586, 321

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 586

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

1, 2, 293, 586

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 23, 686, 586, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 686, 586, 321 is 1.

Therefore, GCD of numbers 23, 686, 586, 321 is 1

Given Input Data is 23, 686, 586, 321

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

Prime Factorization of 23 is 23

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 586 is 2 x 293

Prime Factorization of 321 is 3 x 107

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(23, 686) = 15778

GCD(23, 686) = ( 23 x 686 ) / 15778

GCD(23, 686) = 15778 / 15778

GCD(23, 686) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 23, 686, 586, 321 is 1

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• GCD of 29, 894, 931, 757
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1. What is the GCD of 23, 686, 586, 321?

GCD of 23, 686, 586, 321 is 1

2. Where do I get the detailed procedure to find GCD of 23, 686, 586, 321?

You can find a detailed procedure to find GCD of 23, 686, 586, 321 on our page.

3. How to find GCD of 23, 686, 586, 321 on a calculator?

You can find the GCD of 23, 686, 586, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.