GCD of 586, 384, 766, 687 Calculator

Given Input numbers are 586, 384, 766, 687

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 586, 384, 766, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 384, 766, 687 is 1.

Therefore, GCD of numbers 586, 384, 766, 687 is 1

Given Input Data is 586, 384, 766, 687

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 766 is 2 x 383

Prime Factorization of 687 is 3 x 229

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, 384) = 112512

GCD(586, 384) = ( 586 x 384 ) / 112512

GCD(586, 384) = 225024 / 112512

GCD(586, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 586, 384, 766, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 958, 805, 105
• GCD of 608, 629, 916, 848
• GCD of 251, 908, 662, 191
• GCD of 647, 679, 929, 750
• GCD of 782, 786, 746, 360

1. What is the GCD of 586, 384, 766, 687?

GCD of 586, 384, 766, 687 is 1

2. Where do I get the detailed procedure to find GCD of 586, 384, 766, 687?

You can find a detailed procedure to find GCD of 586, 384, 766, 687 on our page.

3. How to find GCD of 586, 384, 766, 687 on a calculator?

You can find the GCD of 586, 384, 766, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.