GCD of 924, 768, 322 Calculator

Given Input numbers are 924, 768, 322

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 924, 768, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 768, 322 is 2.

Therefore, GCD of numbers 924, 768, 322 is 2

Given Input Data is 924, 768, 322

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 322 is 2 x 7 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(924, 768) = 59136

GCD(924, 768) = ( 924 x 768 ) / 59136

GCD(924, 768) = 709632 / 59136

GCD(924, 768) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 322

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

LCM(12, 322) = 1932

GCD(12, 322) = ( 12 x 322 ) / 1932

GCD(12, 322) = 3864 / 1932

GCD(12, 322) = 2

GCD of 924, 768, 322 is 2

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1. What is the GCD of 924, 768, 322?

GCD of 924, 768, 322 is 2

2. Where do I get the detailed procedure to find GCD of 924, 768, 322?

You can find a detailed procedure to find GCD of 924, 768, 322 on our page.

3. How to find GCD of 924, 768, 322 on a calculator?

You can find the GCD of 924, 768, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.