GCD of 510, 208, 590, 571 Calculator

Given Input numbers are 510, 208, 590, 571

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 571

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

1, 571

Greatest Common Divisior

We found the divisors of 510, 208, 590, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 208, 590, 571 is 1.

Therefore, GCD of numbers 510, 208, 590, 571 is 1

Given Input Data is 510, 208, 590, 571

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 571 is 571

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(510, 208) = 53040

GCD(510, 208) = ( 510 x 208 ) / 53040

GCD(510, 208) = 106080 / 53040

GCD(510, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 571

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

LCM(2, 571) = 1142

GCD(2, 571) = ( 2 x 571 ) / 1142

GCD(2, 571) = 1142 / 1142

GCD(2, 571) = 1

GCD of 510, 208, 590, 571 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 308, 888, 623
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• GCD of 833, 561, 833, 575
• GCD of 208, 768, 779, 276

1. What is the GCD of 510, 208, 590, 571?

GCD of 510, 208, 590, 571 is 1

2. Where do I get the detailed procedure to find GCD of 510, 208, 590, 571?

You can find a detailed procedure to find GCD of 510, 208, 590, 571 on our page.

3. How to find GCD of 510, 208, 590, 571 on a calculator?

You can find the GCD of 510, 208, 590, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.