GCD of 60, 586, 821, 806 Calculator

Given Input numbers are 60, 586, 821, 806

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

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 586

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

1, 2, 293, 586

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 60, 586, 821, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 586, 821, 806 is 1.

Therefore, GCD of numbers 60, 586, 821, 806 is 1

Given Input Data is 60, 586, 821, 806

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

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 821 is 821

Prime Factorization of 806 is 2 x 13 x 31

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(60, 586) = 17580

GCD(60, 586) = ( 60 x 586 ) / 17580

GCD(60, 586) = 35160 / 17580

GCD(60, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 60, 586, 821, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 362, 353, 251
• GCD of 19, 393, 189, 885
• GCD of 41, 886, 315, 161
• GCD of 15, 476, 262, 600
• GCD of 63, 706, 834, 207

1. What is the GCD of 60, 586, 821, 806?

GCD of 60, 586, 821, 806 is 1

2. Where do I get the detailed procedure to find GCD of 60, 586, 821, 806?

You can find a detailed procedure to find GCD of 60, 586, 821, 806 on our page.

3. How to find GCD of 60, 586, 821, 806 on a calculator?

You can find the GCD of 60, 586, 821, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.