GCD of 220, 384, 800, 286 Calculator

Given Input numbers are 220, 384, 800, 286

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

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

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

Greatest Common Divisior

We found the divisors of 220, 384, 800, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 384, 800, 286 is 2.

Therefore, GCD of numbers 220, 384, 800, 286 is 2

Given Input Data is 220, 384, 800, 286

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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(220, 384) = 21120

GCD(220, 384) = ( 220 x 384 ) / 21120

GCD(220, 384) = 84480 / 21120

GCD(220, 384) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 800

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

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

GCD(4, 800) = 3200 / 800

GCD(4, 800) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 286

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

LCM(4, 286) = 572

GCD(4, 286) = ( 4 x 286 ) / 572

GCD(4, 286) = 1144 / 572

GCD(4, 286) = 2

GCD of 220, 384, 800, 286 is 2

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• GCD of 492, 169, 953, 192
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1. What is the GCD of 220, 384, 800, 286?

GCD of 220, 384, 800, 286 is 2

2. Where do I get the detailed procedure to find GCD of 220, 384, 800, 286?

You can find a detailed procedure to find GCD of 220, 384, 800, 286 on our page.

3. How to find GCD of 220, 384, 800, 286 on a calculator?

You can find the GCD of 220, 384, 800, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.