GCD of 586, 864, 21, 675 Calculator

Given Input numbers are 586, 864, 21, 675

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

Divisors of 586

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

1, 2, 293, 586

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 586, 864, 21, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 864, 21, 675 is 1.

Therefore, GCD of numbers 586, 864, 21, 675 is 1

Given Input Data is 586, 864, 21, 675

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 21 is 3 x 7

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(586, 864) = 253152

GCD(586, 864) = ( 586 x 864 ) / 253152

GCD(586, 864) = 506304 / 253152

GCD(586, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 586, 864, 21, 675 is 1

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• GCD of 498, 311, 67, 439
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• GCD of 448, 206, 73, 155

1. What is the GCD of 586, 864, 21, 675?

GCD of 586, 864, 21, 675 is 1

2. Where do I get the detailed procedure to find GCD of 586, 864, 21, 675?

You can find a detailed procedure to find GCD of 586, 864, 21, 675 on our page.

3. How to find GCD of 586, 864, 21, 675 on a calculator?

You can find the GCD of 586, 864, 21, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.