GCD of 596, 608, 629, 425 Calculator

Given Input numbers are 596, 608, 629, 425

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 596, 608, 629, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 608, 629, 425 is 1.

Therefore, GCD of numbers 596, 608, 629, 425 is 1

Given Input Data is 596, 608, 629, 425

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 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 629 is 17 x 37

Prime Factorization of 425 is 5 x 5 x 17

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, 608) = 90592

GCD(596, 608) = ( 596 x 608 ) / 90592

GCD(596, 608) = 362368 / 90592

GCD(596, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 596, 608, 629, 425 is 1

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1. What is the GCD of 596, 608, 629, 425?

GCD of 596, 608, 629, 425 is 1

2. Where do I get the detailed procedure to find GCD of 596, 608, 629, 425?

You can find a detailed procedure to find GCD of 596, 608, 629, 425 on our page.

3. How to find GCD of 596, 608, 629, 425 on a calculator?

You can find the GCD of 596, 608, 629, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.