GCD of 396, 524, 568, 523 Calculator

Given Input numbers are 396, 524, 568, 523

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 524

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

1, 2, 4, 131, 262, 524

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 396, 524, 568, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 524, 568, 523 is 1.

Therefore, GCD of numbers 396, 524, 568, 523 is 1

Given Input Data is 396, 524, 568, 523

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 523 is 523

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(396, 524) = 51876

GCD(396, 524) = ( 396 x 524 ) / 51876

GCD(396, 524) = 207504 / 51876

GCD(396, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 568

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

LCM(4, 568) = 568

GCD(4, 568) = ( 4 x 568 ) / 568

GCD(4, 568) = 2272 / 568

GCD(4, 568) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 523

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

LCM(4, 523) = 2092

GCD(4, 523) = ( 4 x 523 ) / 2092

GCD(4, 523) = 2092 / 2092

GCD(4, 523) = 1

GCD of 396, 524, 568, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 934, 940, 471
• GCD of 284, 601, 543, 632
• GCD of 425, 333, 755, 704
• GCD of 682, 132, 280, 255
• GCD of 403, 396, 350, 160

1. What is the GCD of 396, 524, 568, 523?

GCD of 396, 524, 568, 523 is 1

2. Where do I get the detailed procedure to find GCD of 396, 524, 568, 523?

You can find a detailed procedure to find GCD of 396, 524, 568, 523 on our page.

3. How to find GCD of 396, 524, 568, 523 on a calculator?

You can find the GCD of 396, 524, 568, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.