GCD of 321, 903, 553 Calculator

Given Input numbers are 321, 903, 553

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 321, 903, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 903, 553 is 1.

Therefore, GCD of numbers 321, 903, 553 is 1

Given Input Data is 321, 903, 553

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 553 is 7 x 79

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(321, 903) = 96621

GCD(321, 903) = ( 321 x 903 ) / 96621

GCD(321, 903) = 289863 / 96621

GCD(321, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 553

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

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

GCD(3, 553) = 1659 / 1659

GCD(3, 553) = 1

GCD of 321, 903, 553 is 1

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1. What is the GCD of 321, 903, 553?

GCD of 321, 903, 553 is 1

2. Where do I get the detailed procedure to find GCD of 321, 903, 553?

You can find a detailed procedure to find GCD of 321, 903, 553 on our page.

3. How to find GCD of 321, 903, 553 on a calculator?

You can find the GCD of 321, 903, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.