GCD of 696, 531, 589, 339 Calculator

Given Input numbers are 696, 531, 589, 339

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 696, 531, 589, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 531, 589, 339 is 1.

Therefore, GCD of numbers 696, 531, 589, 339 is 1

Given Input Data is 696, 531, 589, 339

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 589 is 19 x 31

Prime Factorization of 339 is 3 x 113

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(696, 531) = 123192

GCD(696, 531) = ( 696 x 531 ) / 123192

GCD(696, 531) = 369576 / 123192

GCD(696, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 589

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

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

GCD(3, 589) = 1767 / 1767

GCD(3, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 696, 531, 589, 339 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 583, 589, 436
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• GCD of 974, 889, 545, 574

1. What is the GCD of 696, 531, 589, 339?

GCD of 696, 531, 589, 339 is 1

2. Where do I get the detailed procedure to find GCD of 696, 531, 589, 339?

You can find a detailed procedure to find GCD of 696, 531, 589, 339 on our page.

3. How to find GCD of 696, 531, 589, 339 on a calculator?

You can find the GCD of 696, 531, 589, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.