GCD of 500, 571, 11, 338 Calculator

Given Input numbers are 500, 571, 11, 338

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 338

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

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 500, 571, 11, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 571, 11, 338 is 1.

Therefore, GCD of numbers 500, 571, 11, 338 is 1

Given Input Data is 500, 571, 11, 338

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 571 is 571

Prime Factorization of 11 is 11

Prime Factorization of 338 is 2 x 13 x 13

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(500, 571) = 285500

GCD(500, 571) = ( 500 x 571 ) / 285500

GCD(500, 571) = 285500 / 285500

GCD(500, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 500, 571, 11, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 843, 89, 161
• GCD of 127, 498, 94, 129
• GCD of 771, 781, 92, 712
• GCD of 750, 666, 79, 483
• GCD of 498, 229, 16, 628

1. What is the GCD of 500, 571, 11, 338?

GCD of 500, 571, 11, 338 is 1

2. Where do I get the detailed procedure to find GCD of 500, 571, 11, 338?

You can find a detailed procedure to find GCD of 500, 571, 11, 338 on our page.

3. How to find GCD of 500, 571, 11, 338 on a calculator?

You can find the GCD of 500, 571, 11, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.