GCD of 322, 583, 466, 814 Calculator

Given Input numbers are 322, 583, 466, 814

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 322, 583, 466, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 583, 466, 814 is 1.

Therefore, GCD of numbers 322, 583, 466, 814 is 1

Given Input Data is 322, 583, 466, 814

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 583 is 11 x 53

Prime Factorization of 466 is 2 x 233

Prime Factorization of 814 is 2 x 11 x 37

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(322, 583) = 187726

GCD(322, 583) = ( 322 x 583 ) / 187726

GCD(322, 583) = 187726 / 187726

GCD(322, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 322, 583, 466, 814 is 1

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1. What is the GCD of 322, 583, 466, 814?

GCD of 322, 583, 466, 814 is 1

2. Where do I get the detailed procedure to find GCD of 322, 583, 466, 814?

You can find a detailed procedure to find GCD of 322, 583, 466, 814 on our page.

3. How to find GCD of 322, 583, 466, 814 on a calculator?

You can find the GCD of 322, 583, 466, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.