GCD of 549, 351, 209, 432 Calculator

Given Input numbers are 549, 351, 209, 432

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 209

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

1, 11, 19, 209

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 549, 351, 209, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 351, 209, 432 is 1.

Therefore, GCD of numbers 549, 351, 209, 432 is 1

Given Input Data is 549, 351, 209, 432

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 209 is 11 x 19

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(549, 351) = 21411

GCD(549, 351) = ( 549 x 351 ) / 21411

GCD(549, 351) = 192699 / 21411

GCD(549, 351) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 209

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

LCM(9, 209) = 1881

GCD(9, 209) = ( 9 x 209 ) / 1881

GCD(9, 209) = 1881 / 1881

GCD(9, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 549, 351, 209, 432 is 1

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1. What is the GCD of 549, 351, 209, 432?

GCD of 549, 351, 209, 432 is 1

2. Where do I get the detailed procedure to find GCD of 549, 351, 209, 432?

You can find a detailed procedure to find GCD of 549, 351, 209, 432 on our page.

3. How to find GCD of 549, 351, 209, 432 on a calculator?

You can find the GCD of 549, 351, 209, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.