GCD of 204, 729, 32, 862 Calculator

Given Input numbers are 204, 729, 32, 862

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

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 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 204, 729, 32, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 729, 32, 862 is 1.

Therefore, GCD of numbers 204, 729, 32, 862 is 1

Given Input Data is 204, 729, 32, 862

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

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 862 is 2 x 431

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(204, 729) = 49572

GCD(204, 729) = ( 204 x 729 ) / 49572

GCD(204, 729) = 148716 / 49572

GCD(204, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 32

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

LCM(3, 32) = 96

GCD(3, 32) = ( 3 x 32 ) / 96

GCD(3, 32) = 96 / 96

GCD(3, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 204, 729, 32, 862 is 1

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• GCD of 922, 297, 69, 422
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1. What is the GCD of 204, 729, 32, 862?

GCD of 204, 729, 32, 862 is 1

2. Where do I get the detailed procedure to find GCD of 204, 729, 32, 862?

You can find a detailed procedure to find GCD of 204, 729, 32, 862 on our page.

3. How to find GCD of 204, 729, 32, 862 on a calculator?

You can find the GCD of 204, 729, 32, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.