GCD of 589, 626, 693, 406 Calculator

Given Input numbers are 589, 626, 693, 406

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 589, 626, 693, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 626, 693, 406 is 1.

Therefore, GCD of numbers 589, 626, 693, 406 is 1

Given Input Data is 589, 626, 693, 406

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 626 is 2 x 313

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 406 is 2 x 7 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(589, 626) = 368714

GCD(589, 626) = ( 589 x 626 ) / 368714

GCD(589, 626) = 368714 / 368714

GCD(589, 626) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 589, 626, 693, 406 is 1

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1. What is the GCD of 589, 626, 693, 406?

GCD of 589, 626, 693, 406 is 1

2. Where do I get the detailed procedure to find GCD of 589, 626, 693, 406?

You can find a detailed procedure to find GCD of 589, 626, 693, 406 on our page.

3. How to find GCD of 589, 626, 693, 406 on a calculator?

You can find the GCD of 589, 626, 693, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.