GCD of 321, 728, 431, 461 Calculator

Given Input numbers are 321, 728, 431, 461

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 321, 728, 431, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 728, 431, 461 is 1.

Therefore, GCD of numbers 321, 728, 431, 461 is 1

Given Input Data is 321, 728, 431, 461

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 431 is 431

Prime Factorization of 461 is 461

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, 728) = 233688

GCD(321, 728) = ( 321 x 728 ) / 233688

GCD(321, 728) = 233688 / 233688

GCD(321, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 321, 728, 431, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 116, 839, 657
• GCD of 576, 681, 609, 476
• GCD of 127, 220, 439, 330
• GCD of 165, 270, 217, 418
• GCD of 847, 864, 829, 328

1. What is the GCD of 321, 728, 431, 461?

GCD of 321, 728, 431, 461 is 1

2. Where do I get the detailed procedure to find GCD of 321, 728, 431, 461?

You can find a detailed procedure to find GCD of 321, 728, 431, 461 on our page.

3. How to find GCD of 321, 728, 431, 461 on a calculator?

You can find the GCD of 321, 728, 431, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.