GCD of 432, 397, 816, 188 Calculator

Given Input numbers are 432, 397, 816, 188

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 432, 397, 816, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 397, 816, 188 is 1.

Therefore, GCD of numbers 432, 397, 816, 188 is 1

Given Input Data is 432, 397, 816, 188

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 397 is 397

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 188 is 2 x 2 x 47

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(432, 397) = 171504

GCD(432, 397) = ( 432 x 397 ) / 171504

GCD(432, 397) = 171504 / 171504

GCD(432, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 432, 397, 816, 188 is 1

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1. What is the GCD of 432, 397, 816, 188?

GCD of 432, 397, 816, 188 is 1

2. Where do I get the detailed procedure to find GCD of 432, 397, 816, 188?

You can find a detailed procedure to find GCD of 432, 397, 816, 188 on our page.

3. How to find GCD of 432, 397, 816, 188 on a calculator?

You can find the GCD of 432, 397, 816, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.