GCD of 903, 392, 53, 321 Calculator

Given Input numbers are 903, 392, 53, 321

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

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 321

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

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 903, 392, 53, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 392, 53, 321 is 1.

Therefore, GCD of numbers 903, 392, 53, 321 is 1

Given Input Data is 903, 392, 53, 321

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 53 is 53

Prime Factorization of 321 is 3 x 107

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(903, 392) = 50568

GCD(903, 392) = ( 903 x 392 ) / 50568

GCD(903, 392) = 353976 / 50568

GCD(903, 392) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 53

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

LCM(7, 53) = 371

GCD(7, 53) = ( 7 x 53 ) / 371

GCD(7, 53) = 371 / 371

GCD(7, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 903, 392, 53, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 581, 14, 410
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• GCD of 760, 471, 28, 698

1. What is the GCD of 903, 392, 53, 321?

GCD of 903, 392, 53, 321 is 1

2. Where do I get the detailed procedure to find GCD of 903, 392, 53, 321?

You can find a detailed procedure to find GCD of 903, 392, 53, 321 on our page.

3. How to find GCD of 903, 392, 53, 321 on a calculator?

You can find the GCD of 903, 392, 53, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.