GCD of 231, 933, 192, 827 Calculator

Given Input numbers are 231, 933, 192, 827

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 933

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

1, 3, 311, 933

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 231, 933, 192, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 933, 192, 827 is 1.

Therefore, GCD of numbers 231, 933, 192, 827 is 1

Given Input Data is 231, 933, 192, 827

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 933 is 3 x 311

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

Prime Factorization of 827 is 827

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(231, 933) = 71841

GCD(231, 933) = ( 231 x 933 ) / 71841

GCD(231, 933) = 215523 / 71841

GCD(231, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 192

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

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

GCD(3, 192) = 576 / 192

GCD(3, 192) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

GCD of 231, 933, 192, 827 is 1

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1. What is the GCD of 231, 933, 192, 827?

GCD of 231, 933, 192, 827 is 1

2. Where do I get the detailed procedure to find GCD of 231, 933, 192, 827?

You can find a detailed procedure to find GCD of 231, 933, 192, 827 on our page.

3. How to find GCD of 231, 933, 192, 827 on a calculator?

You can find the GCD of 231, 933, 192, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.