GCD of 586, 716, 60, 683 Calculator

Given Input numbers are 586, 716, 60, 683

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 586, 716, 60, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 716, 60, 683 is 1.

Therefore, GCD of numbers 586, 716, 60, 683 is 1

Given Input Data is 586, 716, 60, 683

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 683 is 683

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, 716) = 209788

GCD(586, 716) = ( 586 x 716 ) / 209788

GCD(586, 716) = 419576 / 209788

GCD(586, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 586, 716, 60, 683 is 1

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1. What is the GCD of 586, 716, 60, 683?

GCD of 586, 716, 60, 683 is 1

2. Where do I get the detailed procedure to find GCD of 586, 716, 60, 683?

You can find a detailed procedure to find GCD of 586, 716, 60, 683 on our page.

3. How to find GCD of 586, 716, 60, 683 on a calculator?

You can find the GCD of 586, 716, 60, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.