GCD of 205, 844, 787, 384 Calculator

Given Input numbers are 205, 844, 787, 384

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 205, 844, 787, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 844, 787, 384 is 1.

Therefore, GCD of numbers 205, 844, 787, 384 is 1

Given Input Data is 205, 844, 787, 384

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 787 is 787

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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, 844) = 173020

GCD(205, 844) = ( 205 x 844 ) / 173020

GCD(205, 844) = 173020 / 173020

GCD(205, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 205, 844, 787, 384 is 1

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1. What is the GCD of 205, 844, 787, 384?

GCD of 205, 844, 787, 384 is 1

2. Where do I get the detailed procedure to find GCD of 205, 844, 787, 384?

You can find a detailed procedure to find GCD of 205, 844, 787, 384 on our page.

3. How to find GCD of 205, 844, 787, 384 on a calculator?

You can find the GCD of 205, 844, 787, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.