GCD of 596, 964, 353, 690 Calculator

Given Input numbers are 596, 964, 353, 690

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 596, 964, 353, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 964, 353, 690 is 1.

Therefore, GCD of numbers 596, 964, 353, 690 is 1

Given Input Data is 596, 964, 353, 690

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 964 is 2 x 2 x 241

Prime Factorization of 353 is 353

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 964) = 143636

GCD(596, 964) = ( 596 x 964 ) / 143636

GCD(596, 964) = 574544 / 143636

GCD(596, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 353

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

LCM(4, 353) = 1412

GCD(4, 353) = ( 4 x 353 ) / 1412

GCD(4, 353) = 1412 / 1412

GCD(4, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 596, 964, 353, 690 is 1

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1. What is the GCD of 596, 964, 353, 690?

GCD of 596, 964, 353, 690 is 1

2. Where do I get the detailed procedure to find GCD of 596, 964, 353, 690?

You can find a detailed procedure to find GCD of 596, 964, 353, 690 on our page.

3. How to find GCD of 596, 964, 353, 690 on a calculator?

You can find the GCD of 596, 964, 353, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.