GCD of 586, 660, 133, 469 Calculator

Given Input numbers are 586, 660, 133, 469

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 586, 660, 133, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 660, 133, 469 is 1.

Therefore, GCD of numbers 586, 660, 133, 469 is 1

Given Input Data is 586, 660, 133, 469

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 133 is 7 x 19

Prime Factorization of 469 is 7 x 67

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, 660) = 193380

GCD(586, 660) = ( 586 x 660 ) / 193380

GCD(586, 660) = 386760 / 193380

GCD(586, 660) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 586, 660, 133, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 125, 114, 777
• GCD of 619, 178, 901, 457
• GCD of 495, 393, 535, 992
• GCD of 671, 188, 111, 979
• GCD of 339, 107, 483, 364

1. What is the GCD of 586, 660, 133, 469?

GCD of 586, 660, 133, 469 is 1

2. Where do I get the detailed procedure to find GCD of 586, 660, 133, 469?

You can find a detailed procedure to find GCD of 586, 660, 133, 469 on our page.

3. How to find GCD of 586, 660, 133, 469 on a calculator?

You can find the GCD of 586, 660, 133, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.