GCD of 493, 788, 28, 408 Calculator

Given Input numbers are 493, 788, 28, 408

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 493, 788, 28, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 788, 28, 408 is 1.

Therefore, GCD of numbers 493, 788, 28, 408 is 1

Given Input Data is 493, 788, 28, 408

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(493, 788) = 388484

GCD(493, 788) = ( 493 x 788 ) / 388484

GCD(493, 788) = 388484 / 388484

GCD(493, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 493, 788, 28, 408 is 1

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• GCD of 904, 171, 78, 444
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1. What is the GCD of 493, 788, 28, 408?

GCD of 493, 788, 28, 408 is 1

2. Where do I get the detailed procedure to find GCD of 493, 788, 28, 408?

You can find a detailed procedure to find GCD of 493, 788, 28, 408 on our page.

3. How to find GCD of 493, 788, 28, 408 on a calculator?

You can find the GCD of 493, 788, 28, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.