GCD of 209, 338, 57, 568 Calculator

Given Input numbers are 209, 338, 57, 568

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 209, 338, 57, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 338, 57, 568 is 1.

Therefore, GCD of numbers 209, 338, 57, 568 is 1

Given Input Data is 209, 338, 57, 568

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 57 is 3 x 19

Prime Factorization of 568 is 2 x 2 x 2 x 71

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, 338) = 70642

GCD(209, 338) = ( 209 x 338 ) / 70642

GCD(209, 338) = 70642 / 70642

GCD(209, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 568

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

LCM(1, 568) = 568

GCD(1, 568) = ( 1 x 568 ) / 568

GCD(1, 568) = 568 / 568

GCD(1, 568) = 1

GCD of 209, 338, 57, 568 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 440, 68, 815
• GCD of 438, 508, 56, 157
• GCD of 108, 749, 58, 730
• GCD of 768, 179, 73, 650
• GCD of 568, 466, 45, 135

1. What is the GCD of 209, 338, 57, 568?

GCD of 209, 338, 57, 568 is 1

2. Where do I get the detailed procedure to find GCD of 209, 338, 57, 568?

You can find a detailed procedure to find GCD of 209, 338, 57, 568 on our page.

3. How to find GCD of 209, 338, 57, 568 on a calculator?

You can find the GCD of 209, 338, 57, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.