GCD of 209, 318, 72, 636 Calculator

Given Input numbers are 209, 318, 72, 636

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 209, 318, 72, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 318, 72, 636 is 1.

Therefore, GCD of numbers 209, 318, 72, 636 is 1

Given Input Data is 209, 318, 72, 636

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 636 is 2 x 2 x 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(209, 318) = 66462

GCD(209, 318) = ( 209 x 318 ) / 66462

GCD(209, 318) = 66462 / 66462

GCD(209, 318) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 209, 318, 72, 636 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 102, 65, 263
• GCD of 879, 784, 81, 201
• GCD of 622, 502, 87, 900
• GCD of 919, 875, 66, 995
• GCD of 543, 463, 53, 224

1. What is the GCD of 209, 318, 72, 636?

GCD of 209, 318, 72, 636 is 1

2. Where do I get the detailed procedure to find GCD of 209, 318, 72, 636?

You can find a detailed procedure to find GCD of 209, 318, 72, 636 on our page.

3. How to find GCD of 209, 318, 72, 636 on a calculator?

You can find the GCD of 209, 318, 72, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.