GCD of 205, 594, 849, 159 Calculator

Given Input numbers are 205, 594, 849, 159

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 205, 594, 849, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 594, 849, 159 is 1.

Therefore, GCD of numbers 205, 594, 849, 159 is 1

Given Input Data is 205, 594, 849, 159

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 849 is 3 x 283

Prime Factorization of 159 is 3 x 53

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(205, 594) = 121770

GCD(205, 594) = ( 205 x 594 ) / 121770

GCD(205, 594) = 121770 / 121770

GCD(205, 594) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 205, 594, 849, 159 is 1

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1. What is the GCD of 205, 594, 849, 159?

GCD of 205, 594, 849, 159 is 1

2. Where do I get the detailed procedure to find GCD of 205, 594, 849, 159?

You can find a detailed procedure to find GCD of 205, 594, 849, 159 on our page.

3. How to find GCD of 205, 594, 849, 159 on a calculator?

You can find the GCD of 205, 594, 849, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.