GCD of 384, 955, 460, 816 Calculator

Given Input numbers are 384, 955, 460, 816

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

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

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Greatest Common Divisior

We found the divisors of 384, 955, 460, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 955, 460, 816 is 1.

Therefore, GCD of numbers 384, 955, 460, 816 is 1

Given Input Data is 384, 955, 460, 816

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 955 is 5 x 191

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

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(384, 955) = 366720

GCD(384, 955) = ( 384 x 955 ) / 366720

GCD(384, 955) = 366720 / 366720

GCD(384, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

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

GCD of 384, 955, 460, 816 is 1

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1. What is the GCD of 384, 955, 460, 816?

GCD of 384, 955, 460, 816 is 1

2. Where do I get the detailed procedure to find GCD of 384, 955, 460, 816?

You can find a detailed procedure to find GCD of 384, 955, 460, 816 on our page.

3. How to find GCD of 384, 955, 460, 816 on a calculator?

You can find the GCD of 384, 955, 460, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.