GCD of 30, 209, 554, 564 Calculator

Given Input numbers are 30, 209, 554, 564

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 209

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

1, 11, 19, 209

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 30, 209, 554, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 209, 554, 564 is 1.

Therefore, GCD of numbers 30, 209, 554, 564 is 1

Given Input Data is 30, 209, 554, 564

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 209 is 11 x 19

Prime Factorization of 554 is 2 x 277

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(30, 209) = 6270

GCD(30, 209) = ( 30 x 209 ) / 6270

GCD(30, 209) = 6270 / 6270

GCD(30, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 30, 209, 554, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 532, 549, 922
• GCD of 57, 305, 482, 229
• GCD of 28, 175, 113, 670
• GCD of 36, 763, 871, 919
• GCD of 71, 242, 657, 392

1. What is the GCD of 30, 209, 554, 564?

GCD of 30, 209, 554, 564 is 1

2. Where do I get the detailed procedure to find GCD of 30, 209, 554, 564?

You can find a detailed procedure to find GCD of 30, 209, 554, 564 on our page.

3. How to find GCD of 30, 209, 554, 564 on a calculator?

You can find the GCD of 30, 209, 554, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.