GCD of 209, 238, 72, 570 Calculator

Given Input numbers are 209, 238, 72, 570

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 209, 238, 72, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 238, 72, 570 is 1.

Therefore, GCD of numbers 209, 238, 72, 570 is 1

Given Input Data is 209, 238, 72, 570

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 570 is 2 x 3 x 5 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(209, 238) = 49742

GCD(209, 238) = ( 209 x 238 ) / 49742

GCD(209, 238) = 49742 / 49742

GCD(209, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 209, 238, 72, 570 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 713, 34, 576
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• GCD of 414, 153, 19, 106
• GCD of 125, 545, 26, 945
• GCD of 342, 992, 35, 107

1. What is the GCD of 209, 238, 72, 570?

GCD of 209, 238, 72, 570 is 1

2. Where do I get the detailed procedure to find GCD of 209, 238, 72, 570?

You can find a detailed procedure to find GCD of 209, 238, 72, 570 on our page.

3. How to find GCD of 209, 238, 72, 570 on a calculator?

You can find the GCD of 209, 238, 72, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.