GCD of 250, 472, 512 Calculator

Given Input numbers are 250, 472, 512

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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

Greatest Common Divisior

We found the divisors of 250, 472, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 472, 512 is 2.

Therefore, GCD of numbers 250, 472, 512 is 2

Given Input Data is 250, 472, 512

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

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(250, 472) = 59000

GCD(250, 472) = ( 250 x 472 ) / 59000

GCD(250, 472) = 118000 / 59000

GCD(250, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 250, 472, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 512, 110
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• GCD of 306, 663, 729
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1. What is the GCD of 250, 472, 512?

GCD of 250, 472, 512 is 2

2. Where do I get the detailed procedure to find GCD of 250, 472, 512?

You can find a detailed procedure to find GCD of 250, 472, 512 on our page.

3. How to find GCD of 250, 472, 512 on a calculator?

You can find the GCD of 250, 472, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.