GCD of 209, 438, 355, 409 Calculator

Given Input numbers are 209, 438, 355, 409

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 209, 438, 355, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 438, 355, 409 is 1.

Therefore, GCD of numbers 209, 438, 355, 409 is 1

Given Input Data is 209, 438, 355, 409

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 355 is 5 x 71

Prime Factorization of 409 is 409

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, 438) = 91542

GCD(209, 438) = ( 209 x 438 ) / 91542

GCD(209, 438) = 91542 / 91542

GCD(209, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 209, 438, 355, 409 is 1

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1. What is the GCD of 209, 438, 355, 409?

GCD of 209, 438, 355, 409 is 1

2. Where do I get the detailed procedure to find GCD of 209, 438, 355, 409?

You can find a detailed procedure to find GCD of 209, 438, 355, 409 on our page.

3. How to find GCD of 209, 438, 355, 409 on a calculator?

You can find the GCD of 209, 438, 355, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.