GCD of 18, 164, 209, 516 Calculator

Given Input numbers are 18, 164, 209, 516

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 18, 164, 209, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 164, 209, 516 is 1.

Therefore, GCD of numbers 18, 164, 209, 516 is 1

Given Input Data is 18, 164, 209, 516

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 209 is 11 x 19

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(18, 164) = 1476

GCD(18, 164) = ( 18 x 164 ) / 1476

GCD(18, 164) = 2952 / 1476

GCD(18, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 18, 164, 209, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 471, 678, 995
• GCD of 32, 287, 543, 792
• GCD of 96, 531, 509, 441
• GCD of 53, 882, 914, 415
• GCD of 91, 569, 397, 828

1. What is the GCD of 18, 164, 209, 516?

GCD of 18, 164, 209, 516 is 1

2. Where do I get the detailed procedure to find GCD of 18, 164, 209, 516?

You can find a detailed procedure to find GCD of 18, 164, 209, 516 on our page.

3. How to find GCD of 18, 164, 209, 516 on a calculator?

You can find the GCD of 18, 164, 209, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.