GCD of 108, 309, 211, 499 Calculator

Given Input numbers are 108, 309, 211, 499

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 309

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

1, 3, 103, 309

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 108, 309, 211, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 309, 211, 499 is 1.

Therefore, GCD of numbers 108, 309, 211, 499 is 1

Given Input Data is 108, 309, 211, 499

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 309 is 3 x 103

Prime Factorization of 211 is 211

Prime Factorization of 499 is 499

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(108, 309) = 11124

GCD(108, 309) = ( 108 x 309 ) / 11124

GCD(108, 309) = 33372 / 11124

GCD(108, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 211

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

LCM(3, 211) = 633

GCD(3, 211) = ( 3 x 211 ) / 633

GCD(3, 211) = 633 / 633

GCD(3, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 108, 309, 211, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 855, 425, 115
• GCD of 622, 731, 700, 883
• GCD of 411, 336, 812, 247
• GCD of 578, 224, 604, 309
• GCD of 874, 819, 990, 792

1. What is the GCD of 108, 309, 211, 499?

GCD of 108, 309, 211, 499 is 1

2. Where do I get the detailed procedure to find GCD of 108, 309, 211, 499?

You can find a detailed procedure to find GCD of 108, 309, 211, 499 on our page.

3. How to find GCD of 108, 309, 211, 499 on a calculator?

You can find the GCD of 108, 309, 211, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.