GCD of 800, 831, 872, 192 Calculator

Given Input numbers are 800, 831, 872, 192

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 800, 831, 872, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 831, 872, 192 is 1.

Therefore, GCD of numbers 800, 831, 872, 192 is 1

Given Input Data is 800, 831, 872, 192

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 831 is 3 x 277

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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(800, 831) = 664800

GCD(800, 831) = ( 800 x 831 ) / 664800

GCD(800, 831) = 664800 / 664800

GCD(800, 831) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

GCD of 800, 831, 872, 192 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 785, 175, 694
• GCD of 429, 896, 838, 931
• GCD of 990, 106, 745, 973
• GCD of 733, 974, 719, 197
• GCD of 446, 319, 108, 449

1. What is the GCD of 800, 831, 872, 192?

GCD of 800, 831, 872, 192 is 1

2. Where do I get the detailed procedure to find GCD of 800, 831, 872, 192?

You can find a detailed procedure to find GCD of 800, 831, 872, 192 on our page.

3. How to find GCD of 800, 831, 872, 192 on a calculator?

You can find the GCD of 800, 831, 872, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.