GCD of 408, 192, 113, 824 Calculator

Given Input numbers are 408, 192, 113, 824

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

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 408, 192, 113, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 192, 113, 824 is 1.

Therefore, GCD of numbers 408, 192, 113, 824 is 1

Given Input Data is 408, 192, 113, 824

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

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 113 is 113

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(408, 192) = 3264

GCD(408, 192) = ( 408 x 192 ) / 3264

GCD(408, 192) = 78336 / 3264

GCD(408, 192) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 113

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

LCM(24, 113) = 2712

GCD(24, 113) = ( 24 x 113 ) / 2712

GCD(24, 113) = 2712 / 2712

GCD(24, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 408, 192, 113, 824 is 1

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1. What is the GCD of 408, 192, 113, 824?

GCD of 408, 192, 113, 824 is 1

2. Where do I get the detailed procedure to find GCD of 408, 192, 113, 824?

You can find a detailed procedure to find GCD of 408, 192, 113, 824 on our page.

3. How to find GCD of 408, 192, 113, 824 on a calculator?

You can find the GCD of 408, 192, 113, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.