GCD of 204, 843, 357, 565 Calculator

Given Input numbers are 204, 843, 357, 565

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 204, 843, 357, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 843, 357, 565 is 1.

Therefore, GCD of numbers 204, 843, 357, 565 is 1

Given Input Data is 204, 843, 357, 565

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 843 is 3 x 281

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 565 is 5 x 113

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, 843) = 57324

GCD(204, 843) = ( 204 x 843 ) / 57324

GCD(204, 843) = 171972 / 57324

GCD(204, 843) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 357

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

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

GCD(3, 357) = 1071 / 357

GCD(3, 357) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 565

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

LCM(3, 565) = 1695

GCD(3, 565) = ( 3 x 565 ) / 1695

GCD(3, 565) = 1695 / 1695

GCD(3, 565) = 1

GCD of 204, 843, 357, 565 is 1

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1. What is the GCD of 204, 843, 357, 565?

GCD of 204, 843, 357, 565 is 1

2. Where do I get the detailed procedure to find GCD of 204, 843, 357, 565?

You can find a detailed procedure to find GCD of 204, 843, 357, 565 on our page.

3. How to find GCD of 204, 843, 357, 565 on a calculator?

You can find the GCD of 204, 843, 357, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.