GCD of 321, 459, 61, 823 Calculator

Given Input numbers are 321, 459, 61, 823

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 321, 459, 61, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 459, 61, 823 is 1.

Therefore, GCD of numbers 321, 459, 61, 823 is 1

Given Input Data is 321, 459, 61, 823

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 61 is 61

Prime Factorization of 823 is 823

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, 459) = 49113

GCD(321, 459) = ( 321 x 459 ) / 49113

GCD(321, 459) = 147339 / 49113

GCD(321, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 321, 459, 61, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 110, 52, 368
• GCD of 837, 340, 99, 554
• GCD of 763, 125, 11, 220
• GCD of 182, 461, 74, 715
• GCD of 214, 599, 37, 133

1. What is the GCD of 321, 459, 61, 823?

GCD of 321, 459, 61, 823 is 1

2. Where do I get the detailed procedure to find GCD of 321, 459, 61, 823?

You can find a detailed procedure to find GCD of 321, 459, 61, 823 on our page.

3. How to find GCD of 321, 459, 61, 823 on a calculator?

You can find the GCD of 321, 459, 61, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.