GCD of 28, 406, 218, 788 Calculator

Given Input numbers are 28, 406, 218, 788

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 218

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

1, 2, 109, 218

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 28, 406, 218, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 406, 218, 788 is 2.

Therefore, GCD of numbers 28, 406, 218, 788 is 2

Given Input Data is 28, 406, 218, 788

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 218 is 2 x 109

Prime Factorization of 788 is 2 x 2 x 197

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(28, 406) = 812

GCD(28, 406) = ( 28 x 406 ) / 812

GCD(28, 406) = 11368 / 812

GCD(28, 406) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 218

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

LCM(14, 218) = 1526

GCD(14, 218) = ( 14 x 218 ) / 1526

GCD(14, 218) = 3052 / 1526

GCD(14, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 28, 406, 218, 788 is 2

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• GCD of 79, 429, 233, 759
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1. What is the GCD of 28, 406, 218, 788?

GCD of 28, 406, 218, 788 is 2

2. Where do I get the detailed procedure to find GCD of 28, 406, 218, 788?

You can find a detailed procedure to find GCD of 28, 406, 218, 788 on our page.

3. How to find GCD of 28, 406, 218, 788 on a calculator?

You can find the GCD of 28, 406, 218, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.