GCD of 10, 900, 323, 200 Calculator

Given Input numbers are 10, 900, 323, 200

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Greatest Common Divisior

We found the divisors of 10, 900, 323, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 900, 323, 200 is 1.

Therefore, GCD of numbers 10, 900, 323, 200 is 1

Given Input Data is 10, 900, 323, 200

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 323 is 17 x 19

Prime Factorization of 200 is 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(10, 900) = 900

GCD(10, 900) = ( 10 x 900 ) / 900

GCD(10, 900) = 9000 / 900

GCD(10, 900) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 323

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

LCM(10, 323) = 3230

GCD(10, 323) = ( 10 x 323 ) / 3230

GCD(10, 323) = 3230 / 3230

GCD(10, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 10, 900, 323, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 906, 642, 680
• GCD of 26, 172, 667, 256
• GCD of 53, 772, 681, 462
• GCD of 61, 319, 637, 566
• GCD of 87, 486, 473, 479

1. What is the GCD of 10, 900, 323, 200?

GCD of 10, 900, 323, 200 is 1

2. Where do I get the detailed procedure to find GCD of 10, 900, 323, 200?

You can find a detailed procedure to find GCD of 10, 900, 323, 200 on our page.

3. How to find GCD of 10, 900, 323, 200 on a calculator?

You can find the GCD of 10, 900, 323, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.