GCD of 180, 579, 133, 652 Calculator

Given Input numbers are 180, 579, 133, 652

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 133

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

1, 7, 19, 133

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 180, 579, 133, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 579, 133, 652 is 1.

Therefore, GCD of numbers 180, 579, 133, 652 is 1

Given Input Data is 180, 579, 133, 652

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 579 is 3 x 193

Prime Factorization of 133 is 7 x 19

Prime Factorization of 652 is 2 x 2 x 163

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(180, 579) = 34740

GCD(180, 579) = ( 180 x 579 ) / 34740

GCD(180, 579) = 104220 / 34740

GCD(180, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 133

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

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

GCD(3, 133) = 399 / 399

GCD(3, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 180, 579, 133, 652 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 176, 712, 323
• GCD of 503, 290, 143, 658
• GCD of 951, 654, 580, 733
• GCD of 811, 807, 960, 148
• GCD of 653, 533, 304, 897

1. What is the GCD of 180, 579, 133, 652?

GCD of 180, 579, 133, 652 is 1

2. Where do I get the detailed procedure to find GCD of 180, 579, 133, 652?

You can find a detailed procedure to find GCD of 180, 579, 133, 652 on our page.

3. How to find GCD of 180, 579, 133, 652 on a calculator?

You can find the GCD of 180, 579, 133, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.