GCD of 326, 800, 286, 466 Calculator

Given Input numbers are 326, 800, 286, 466

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 466

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

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 326, 800, 286, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 800, 286, 466 is 2.

Therefore, GCD of numbers 326, 800, 286, 466 is 2

Given Input Data is 326, 800, 286, 466

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 466 is 2 x 233

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(326, 800) = 130400

GCD(326, 800) = ( 326 x 800 ) / 130400

GCD(326, 800) = 260800 / 130400

GCD(326, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 326, 800, 286, 466 is 2

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1. What is the GCD of 326, 800, 286, 466?

GCD of 326, 800, 286, 466 is 2

2. Where do I get the detailed procedure to find GCD of 326, 800, 286, 466?

You can find a detailed procedure to find GCD of 326, 800, 286, 466 on our page.

3. How to find GCD of 326, 800, 286, 466 on a calculator?

You can find the GCD of 326, 800, 286, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.