GCD of 364, 309, 162, 539 Calculator

Given Input numbers are 364, 309, 162, 539

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 364, 309, 162, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 309, 162, 539 is 1.

Therefore, GCD of numbers 364, 309, 162, 539 is 1

Given Input Data is 364, 309, 162, 539

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 309 is 3 x 103

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 539 is 7 x 7 x 11

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(364, 309) = 112476

GCD(364, 309) = ( 364 x 309 ) / 112476

GCD(364, 309) = 112476 / 112476

GCD(364, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

GCD of 364, 309, 162, 539 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 350, 704, 221
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• GCD of 250, 506, 699, 592

1. What is the GCD of 364, 309, 162, 539?

GCD of 364, 309, 162, 539 is 1

2. Where do I get the detailed procedure to find GCD of 364, 309, 162, 539?

You can find a detailed procedure to find GCD of 364, 309, 162, 539 on our page.

3. How to find GCD of 364, 309, 162, 539 on a calculator?

You can find the GCD of 364, 309, 162, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.