GCD of 559, 363, 27, 169 Calculator

Given Input numbers are 559, 363, 27, 169

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 559, 363, 27, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 363, 27, 169 is 1.

Therefore, GCD of numbers 559, 363, 27, 169 is 1

Given Input Data is 559, 363, 27, 169

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 169 is 13 x 13

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(559, 363) = 202917

GCD(559, 363) = ( 559 x 363 ) / 202917

GCD(559, 363) = 202917 / 202917

GCD(559, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 559, 363, 27, 169 is 1

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1. What is the GCD of 559, 363, 27, 169?

GCD of 559, 363, 27, 169 is 1

2. Where do I get the detailed procedure to find GCD of 559, 363, 27, 169?

You can find a detailed procedure to find GCD of 559, 363, 27, 169 on our page.

3. How to find GCD of 559, 363, 27, 169 on a calculator?

You can find the GCD of 559, 363, 27, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.