GCD of 229, 638, 523, 921 Calculator

Given Input numbers are 229, 638, 523, 921

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 229, 638, 523, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 638, 523, 921 is 1.

Therefore, GCD of numbers 229, 638, 523, 921 is 1

Given Input Data is 229, 638, 523, 921

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

Prime Factorization of 229 is 229

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 523 is 523

Prime Factorization of 921 is 3 x 307

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(229, 638) = 146102

GCD(229, 638) = ( 229 x 638 ) / 146102

GCD(229, 638) = 146102 / 146102

GCD(229, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 229, 638, 523, 921 is 1

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1. What is the GCD of 229, 638, 523, 921?

GCD of 229, 638, 523, 921 is 1

2. Where do I get the detailed procedure to find GCD of 229, 638, 523, 921?

You can find a detailed procedure to find GCD of 229, 638, 523, 921 on our page.

3. How to find GCD of 229, 638, 523, 921 on a calculator?

You can find the GCD of 229, 638, 523, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.