GCD of 538, 687, 213, 590 Calculator

Given Input numbers are 538, 687, 213, 590

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 590

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

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

Greatest Common Divisior

We found the divisors of 538, 687, 213, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 687, 213, 590 is 1.

Therefore, GCD of numbers 538, 687, 213, 590 is 1

Given Input Data is 538, 687, 213, 590

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 687 is 3 x 229

Prime Factorization of 213 is 3 x 71

Prime Factorization of 590 is 2 x 5 x 59

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(538, 687) = 369606

GCD(538, 687) = ( 538 x 687 ) / 369606

GCD(538, 687) = 369606 / 369606

GCD(538, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

GCD of 538, 687, 213, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 571, 422, 197
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1. What is the GCD of 538, 687, 213, 590?

GCD of 538, 687, 213, 590 is 1

2. Where do I get the detailed procedure to find GCD of 538, 687, 213, 590?

You can find a detailed procedure to find GCD of 538, 687, 213, 590 on our page.

3. How to find GCD of 538, 687, 213, 590 on a calculator?

You can find the GCD of 538, 687, 213, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.