GCD of 225, 638, 36, 629 Calculator

Given Input numbers are 225, 638, 36, 629

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 629

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

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 225, 638, 36, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 638, 36, 629 is 1.

Therefore, GCD of numbers 225, 638, 36, 629 is 1

Given Input Data is 225, 638, 36, 629

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 629 is 17 x 37

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(225, 638) = 143550

GCD(225, 638) = ( 225 x 638 ) / 143550

GCD(225, 638) = 143550 / 143550

GCD(225, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 225, 638, 36, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 150, 66, 861
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• GCD of 182, 224, 42, 571
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• GCD of 816, 866, 51, 787

1. What is the GCD of 225, 638, 36, 629?

GCD of 225, 638, 36, 629 is 1

2. Where do I get the detailed procedure to find GCD of 225, 638, 36, 629?

You can find a detailed procedure to find GCD of 225, 638, 36, 629 on our page.

3. How to find GCD of 225, 638, 36, 629 on a calculator?

You can find the GCD of 225, 638, 36, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.