GCD of 322, 512, 961 Calculator

Given Input numbers are 322, 512, 961

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 322, 512, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 512, 961 is 1.

Therefore, GCD of numbers 322, 512, 961 is 1

Given Input Data is 322, 512, 961

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 961 is 31 x 31

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, 512) = 82432

GCD(322, 512) = ( 322 x 512 ) / 82432

GCD(322, 512) = 164864 / 82432

GCD(322, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 322, 512, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 426, 324
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• GCD of 322, 558, 416

1. What is the GCD of 322, 512, 961?

GCD of 322, 512, 961 is 1

2. Where do I get the detailed procedure to find GCD of 322, 512, 961?

You can find a detailed procedure to find GCD of 322, 512, 961 on our page.

3. How to find GCD of 322, 512, 961 on a calculator?

You can find the GCD of 322, 512, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.