GCD of 524, 789, 259, 538 Calculator

Given Input numbers are 524, 789, 259, 538

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 524, 789, 259, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 789, 259, 538 is 1.

Therefore, GCD of numbers 524, 789, 259, 538 is 1

Given Input Data is 524, 789, 259, 538

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 789 is 3 x 263

Prime Factorization of 259 is 7 x 37

Prime Factorization of 538 is 2 x 269

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(524, 789) = 413436

GCD(524, 789) = ( 524 x 789 ) / 413436

GCD(524, 789) = 413436 / 413436

GCD(524, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 524, 789, 259, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 216, 752, 605
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• GCD of 576, 384, 201, 964

1. What is the GCD of 524, 789, 259, 538?

GCD of 524, 789, 259, 538 is 1

2. Where do I get the detailed procedure to find GCD of 524, 789, 259, 538?

You can find a detailed procedure to find GCD of 524, 789, 259, 538 on our page.

3. How to find GCD of 524, 789, 259, 538 on a calculator?

You can find the GCD of 524, 789, 259, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.