GCD of 500, 512, 54, 218 Calculator

Given Input numbers are 500, 512, 54, 218

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 500, 512, 54, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 512, 54, 218 is 2.

Therefore, GCD of numbers 500, 512, 54, 218 is 2

Given Input Data is 500, 512, 54, 218

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 218 is 2 x 109

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(500, 512) = 64000

GCD(500, 512) = ( 500 x 512 ) / 64000

GCD(500, 512) = 256000 / 64000

GCD(500, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

GCD of 500, 512, 54, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 796, 78, 794
• GCD of 317, 701, 47, 122
• GCD of 595, 501, 30, 850
• GCD of 500, 936, 96, 494
• GCD of 357, 684, 74, 757

1. What is the GCD of 500, 512, 54, 218?

GCD of 500, 512, 54, 218 is 2

2. Where do I get the detailed procedure to find GCD of 500, 512, 54, 218?

You can find a detailed procedure to find GCD of 500, 512, 54, 218 on our page.

3. How to find GCD of 500, 512, 54, 218 on a calculator?

You can find the GCD of 500, 512, 54, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.