GCD of 203, 588, 21, 626 Calculator

Given Input numbers are 203, 588, 21, 626

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 626

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

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 203, 588, 21, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 588, 21, 626 is 1.

Therefore, GCD of numbers 203, 588, 21, 626 is 1

Given Input Data is 203, 588, 21, 626

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 626 is 2 x 313

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(203, 588) = 17052

GCD(203, 588) = ( 203 x 588 ) / 17052

GCD(203, 588) = 119364 / 17052

GCD(203, 588) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 21

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

LCM(7, 21) = 21

GCD(7, 21) = ( 7 x 21 ) / 21

GCD(7, 21) = 147 / 21

GCD(7, 21) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 626

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

LCM(7, 626) = 4382

GCD(7, 626) = ( 7 x 626 ) / 4382

GCD(7, 626) = 4382 / 4382

GCD(7, 626) = 1

GCD of 203, 588, 21, 626 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 181, 63, 476
• GCD of 964, 622, 49, 392
• GCD of 628, 874, 31, 474
• GCD of 442, 748, 26, 467
• GCD of 725, 480, 91, 953

1. What is the GCD of 203, 588, 21, 626?

GCD of 203, 588, 21, 626 is 1

2. Where do I get the detailed procedure to find GCD of 203, 588, 21, 626?

You can find a detailed procedure to find GCD of 203, 588, 21, 626 on our page.

3. How to find GCD of 203, 588, 21, 626 on a calculator?

You can find the GCD of 203, 588, 21, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.