GCD of 269, 992, 204, 831 Calculator

Given Input numbers are 269, 992, 204, 831

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 831

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

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 269, 992, 204, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 992, 204, 831 is 1.

Therefore, GCD of numbers 269, 992, 204, 831 is 1

Given Input Data is 269, 992, 204, 831

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

Prime Factorization of 269 is 269

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 831 is 3 x 277

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(269, 992) = 266848

GCD(269, 992) = ( 269 x 992 ) / 266848

GCD(269, 992) = 266848 / 266848

GCD(269, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 269, 992, 204, 831 is 1

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1. What is the GCD of 269, 992, 204, 831?

GCD of 269, 992, 204, 831 is 1

2. Where do I get the detailed procedure to find GCD of 269, 992, 204, 831?

You can find a detailed procedure to find GCD of 269, 992, 204, 831 on our page.

3. How to find GCD of 269, 992, 204, 831 on a calculator?

You can find the GCD of 269, 992, 204, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.