GCD of 570, 330, 54, 209 Calculator

Given Input numbers are 570, 330, 54, 209

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 209

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

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 570, 330, 54, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 330, 54, 209 is 1.

Therefore, GCD of numbers 570, 330, 54, 209 is 1

Given Input Data is 570, 330, 54, 209

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 209 is 11 x 19

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(570, 330) = 6270

GCD(570, 330) = ( 570 x 330 ) / 6270

GCD(570, 330) = 188100 / 6270

GCD(570, 330) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 54

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

LCM(30, 54) = 270

GCD(30, 54) = ( 30 x 54 ) / 270

GCD(30, 54) = 1620 / 270

GCD(30, 54) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 209

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

LCM(6, 209) = 1254

GCD(6, 209) = ( 6 x 209 ) / 1254

GCD(6, 209) = 1254 / 1254

GCD(6, 209) = 1

GCD of 570, 330, 54, 209 is 1

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• GCD of 739, 205, 58, 264
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1. What is the GCD of 570, 330, 54, 209?

GCD of 570, 330, 54, 209 is 1

2. Where do I get the detailed procedure to find GCD of 570, 330, 54, 209?

You can find a detailed procedure to find GCD of 570, 330, 54, 209 on our page.

3. How to find GCD of 570, 330, 54, 209 on a calculator?

You can find the GCD of 570, 330, 54, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.