GCD of 393, 184, 84, 416 Calculator

Given Input numbers are 393, 184, 84, 416

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 393, 184, 84, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 184, 84, 416 is 1.

Therefore, GCD of numbers 393, 184, 84, 416 is 1

Given Input Data is 393, 184, 84, 416

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(393, 184) = 72312

GCD(393, 184) = ( 393 x 184 ) / 72312

GCD(393, 184) = 72312 / 72312

GCD(393, 184) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 393, 184, 84, 416 is 1

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1. What is the GCD of 393, 184, 84, 416?

GCD of 393, 184, 84, 416 is 1

2. Where do I get the detailed procedure to find GCD of 393, 184, 84, 416?

You can find a detailed procedure to find GCD of 393, 184, 84, 416 on our page.

3. How to find GCD of 393, 184, 84, 416 on a calculator?

You can find the GCD of 393, 184, 84, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.