GCD of 510, 472, 406, 872 Calculator

Given Input numbers are 510, 472, 406, 872

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 510, 472, 406, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 472, 406, 872 is 2.

Therefore, GCD of numbers 510, 472, 406, 872 is 2

Given Input Data is 510, 472, 406, 872

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 872 is 2 x 2 x 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(510, 472) = 120360

GCD(510, 472) = ( 510 x 472 ) / 120360

GCD(510, 472) = 240720 / 120360

GCD(510, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 510, 472, 406, 872 is 2

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• GCD of 118, 410, 626, 667
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1. What is the GCD of 510, 472, 406, 872?

GCD of 510, 472, 406, 872 is 2

2. Where do I get the detailed procedure to find GCD of 510, 472, 406, 872?

You can find a detailed procedure to find GCD of 510, 472, 406, 872 on our page.

3. How to find GCD of 510, 472, 406, 872 on a calculator?

You can find the GCD of 510, 472, 406, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.