GCD of 205, 474, 47, 432 Calculator

Given Input numbers are 205, 474, 47, 432

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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

Greatest Common Divisior

We found the divisors of 205, 474, 47, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 474, 47, 432 is 1.

Therefore, GCD of numbers 205, 474, 47, 432 is 1

Given Input Data is 205, 474, 47, 432

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 47 is 47

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

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(205, 474) = 97170

GCD(205, 474) = ( 205 x 474 ) / 97170

GCD(205, 474) = 97170 / 97170

GCD(205, 474) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 205, 474, 47, 432 is 1

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• GCD of 766, 991, 55, 298
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1. What is the GCD of 205, 474, 47, 432?

GCD of 205, 474, 47, 432 is 1

2. Where do I get the detailed procedure to find GCD of 205, 474, 47, 432?

You can find a detailed procedure to find GCD of 205, 474, 47, 432 on our page.

3. How to find GCD of 205, 474, 47, 432 on a calculator?

You can find the GCD of 205, 474, 47, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.