GCD of 322, 574, 466, 894 Calculator

Given Input numbers are 322, 574, 466, 894

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 466

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

1, 2, 233, 466

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 322, 574, 466, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 574, 466, 894 is 2.

Therefore, GCD of numbers 322, 574, 466, 894 is 2

Given Input Data is 322, 574, 466, 894

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 574 is 2 x 7 x 41

Prime Factorization of 466 is 2 x 233

Prime Factorization of 894 is 2 x 3 x 149

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(322, 574) = 13202

GCD(322, 574) = ( 322 x 574 ) / 13202

GCD(322, 574) = 184828 / 13202

GCD(322, 574) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 466

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

LCM(14, 466) = 3262

GCD(14, 466) = ( 14 x 466 ) / 3262

GCD(14, 466) = 6524 / 3262

GCD(14, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 322, 574, 466, 894 is 2

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• GCD of 183, 290, 173, 325
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1. What is the GCD of 322, 574, 466, 894?

GCD of 322, 574, 466, 894 is 2

2. Where do I get the detailed procedure to find GCD of 322, 574, 466, 894?

You can find a detailed procedure to find GCD of 322, 574, 466, 894 on our page.

3. How to find GCD of 322, 574, 466, 894 on a calculator?

You can find the GCD of 322, 574, 466, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.