GCD of 180, 423, 31, 933 Calculator

Given Input numbers are 180, 423, 31, 933

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 180, 423, 31, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 423, 31, 933 is 1.

Therefore, GCD of numbers 180, 423, 31, 933 is 1

Given Input Data is 180, 423, 31, 933

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 423 is 3 x 3 x 47

Prime Factorization of 31 is 31

Prime Factorization of 933 is 3 x 311

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, 423) = 8460

GCD(180, 423) = ( 180 x 423 ) / 8460

GCD(180, 423) = 76140 / 8460

GCD(180, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 31

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

LCM(9, 31) = 279

GCD(9, 31) = ( 9 x 31 ) / 279

GCD(9, 31) = 279 / 279

GCD(9, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 933

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

LCM(1, 933) = 933

GCD(1, 933) = ( 1 x 933 ) / 933

GCD(1, 933) = 933 / 933

GCD(1, 933) = 1

GCD of 180, 423, 31, 933 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 526, 71, 958
• GCD of 179, 461, 25, 570
• GCD of 352, 708, 96, 982
• GCD of 425, 740, 24, 317
• GCD of 181, 246, 43, 899

1. What is the GCD of 180, 423, 31, 933?

GCD of 180, 423, 31, 933 is 1

2. Where do I get the detailed procedure to find GCD of 180, 423, 31, 933?

You can find a detailed procedure to find GCD of 180, 423, 31, 933 on our page.

3. How to find GCD of 180, 423, 31, 933 on a calculator?

You can find the GCD of 180, 423, 31, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.