GCD of 586, 928, 20, 307 Calculator

Given Input numbers are 586, 928, 20, 307

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 586, 928, 20, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 928, 20, 307 is 1.

Therefore, GCD of numbers 586, 928, 20, 307 is 1

Given Input Data is 586, 928, 20, 307

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 307 is 307

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, 928) = 271904

GCD(586, 928) = ( 586 x 928 ) / 271904

GCD(586, 928) = 543808 / 271904

GCD(586, 928) = 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 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

GCD of 586, 928, 20, 307 is 1

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• GCD of 159, 382, 59, 425
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1. What is the GCD of 586, 928, 20, 307?

GCD of 586, 928, 20, 307 is 1

2. Where do I get the detailed procedure to find GCD of 586, 928, 20, 307?

You can find a detailed procedure to find GCD of 586, 928, 20, 307 on our page.

3. How to find GCD of 586, 928, 20, 307 on a calculator?

You can find the GCD of 586, 928, 20, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.