GCD of 800, 362, 381 Calculator

Given Input numbers are 800, 362, 381

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 800, 362, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 362, 381 is 1.

Therefore, GCD of numbers 800, 362, 381 is 1

Given Input Data is 800, 362, 381

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 362 is 2 x 181

Prime Factorization of 381 is 3 x 127

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(800, 362) = 144800

GCD(800, 362) = ( 800 x 362 ) / 144800

GCD(800, 362) = 289600 / 144800

GCD(800, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 800, 362, 381 is 1

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• GCD of 355, 855, 617
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1. What is the GCD of 800, 362, 381?

GCD of 800, 362, 381 is 1

2. Where do I get the detailed procedure to find GCD of 800, 362, 381?

You can find a detailed procedure to find GCD of 800, 362, 381 on our page.

3. How to find GCD of 800, 362, 381 on a calculator?

You can find the GCD of 800, 362, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.