GCD of 18, 200, 458, 288 Calculator

Given Input numbers are 18, 200, 458, 288

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 18, 200, 458, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 200, 458, 288 is 2.

Therefore, GCD of numbers 18, 200, 458, 288 is 2

Given Input Data is 18, 200, 458, 288

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 458 is 2 x 229

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(18, 200) = 1800

GCD(18, 200) = ( 18 x 200 ) / 1800

GCD(18, 200) = 3600 / 1800

GCD(18, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 458

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

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

GCD(2, 458) = 916 / 458

GCD(2, 458) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 18, 200, 458, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 736, 946, 872
• GCD of 63, 739, 237, 707
• GCD of 36, 410, 429, 721
• GCD of 17, 510, 983, 700
• GCD of 90, 690, 789, 717

1. What is the GCD of 18, 200, 458, 288?

GCD of 18, 200, 458, 288 is 2

2. Where do I get the detailed procedure to find GCD of 18, 200, 458, 288?

You can find a detailed procedure to find GCD of 18, 200, 458, 288 on our page.

3. How to find GCD of 18, 200, 458, 288 on a calculator?

You can find the GCD of 18, 200, 458, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.