GCD of 596, 313, 75, 522 Calculator

Given Input numbers are 596, 313, 75, 522

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 596, 313, 75, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 313, 75, 522 is 1.

Therefore, GCD of numbers 596, 313, 75, 522 is 1

Given Input Data is 596, 313, 75, 522

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 313 is 313

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(596, 313) = 186548

GCD(596, 313) = ( 596 x 313 ) / 186548

GCD(596, 313) = 186548 / 186548

GCD(596, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 596, 313, 75, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 981, 33, 432
• GCD of 458, 830, 47, 182
• GCD of 705, 826, 96, 461
• GCD of 570, 954, 49, 428
• GCD of 754, 195, 39, 651

1. What is the GCD of 596, 313, 75, 522?

GCD of 596, 313, 75, 522 is 1

2. Where do I get the detailed procedure to find GCD of 596, 313, 75, 522?

You can find a detailed procedure to find GCD of 596, 313, 75, 522 on our page.

3. How to find GCD of 596, 313, 75, 522 on a calculator?

You can find the GCD of 596, 313, 75, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.