GCD of 933, 183, 45, 400 Calculator

Given Input numbers are 933, 183, 45, 400

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

Divisors of 933

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

1, 3, 311, 933

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 933, 183, 45, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 183, 45, 400 is 1.

Therefore, GCD of numbers 933, 183, 45, 400 is 1

Given Input Data is 933, 183, 45, 400

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

Prime Factorization of 933 is 3 x 311

Prime Factorization of 183 is 3 x 61

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(933, 183) = 56913

GCD(933, 183) = ( 933 x 183 ) / 56913

GCD(933, 183) = 170739 / 56913

GCD(933, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

GCD of 933, 183, 45, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 525, 25, 459
• GCD of 681, 976, 69, 977
• GCD of 824, 903, 13, 868
• GCD of 964, 356, 93, 182
• GCD of 830, 428, 83, 412

1. What is the GCD of 933, 183, 45, 400?

GCD of 933, 183, 45, 400 is 1

2. Where do I get the detailed procedure to find GCD of 933, 183, 45, 400?

You can find a detailed procedure to find GCD of 933, 183, 45, 400 on our page.

3. How to find GCD of 933, 183, 45, 400 on a calculator?

You can find the GCD of 933, 183, 45, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.