GCD of 743, 573, 13, 321 Calculator

Given Input numbers are 743, 573, 13, 321

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 743, 573, 13, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 573, 13, 321 is 1.

Therefore, GCD of numbers 743, 573, 13, 321 is 1

Given Input Data is 743, 573, 13, 321

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

Prime Factorization of 743 is 743

Prime Factorization of 573 is 3 x 191

Prime Factorization of 13 is 13

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(743, 573) = 425739

GCD(743, 573) = ( 743 x 573 ) / 425739

GCD(743, 573) = 425739 / 425739

GCD(743, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 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 743, 573, 13, 321 is 1

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• GCD of 608, 459, 29, 282
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1. What is the GCD of 743, 573, 13, 321?

GCD of 743, 573, 13, 321 is 1

2. Where do I get the detailed procedure to find GCD of 743, 573, 13, 321?

You can find a detailed procedure to find GCD of 743, 573, 13, 321 on our page.

3. How to find GCD of 743, 573, 13, 321 on a calculator?

You can find the GCD of 743, 573, 13, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.