GCD of 204, 827, 17, 553 Calculator

Given Input numbers are 204, 827, 17, 553

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 827

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

1, 827

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 204, 827, 17, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 827, 17, 553 is 1.

Therefore, GCD of numbers 204, 827, 17, 553 is 1

Given Input Data is 204, 827, 17, 553

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 827 is 827

Prime Factorization of 17 is 17

Prime Factorization of 553 is 7 x 79

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, 827) = 168708

GCD(204, 827) = ( 204 x 827 ) / 168708

GCD(204, 827) = 168708 / 168708

GCD(204, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 204, 827, 17, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 683, 67, 923
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• GCD of 886, 678, 89, 664

1. What is the GCD of 204, 827, 17, 553?

GCD of 204, 827, 17, 553 is 1

2. Where do I get the detailed procedure to find GCD of 204, 827, 17, 553?

You can find a detailed procedure to find GCD of 204, 827, 17, 553 on our page.

3. How to find GCD of 204, 827, 17, 553 on a calculator?

You can find the GCD of 204, 827, 17, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.