GCD of 905, 398, 800 Calculator

Given Input numbers are 905, 398, 800

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

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

Greatest Common Divisior

We found the divisors of 905, 398, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 398, 800 is 1.

Therefore, GCD of numbers 905, 398, 800 is 1

Given Input Data is 905, 398, 800

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 398 is 2 x 199

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

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(905, 398) = 360190

GCD(905, 398) = ( 905 x 398 ) / 360190

GCD(905, 398) = 360190 / 360190

GCD(905, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 905, 398, 800 is 1

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• GCD of 362, 983, 225
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1. What is the GCD of 905, 398, 800?

GCD of 905, 398, 800 is 1

2. Where do I get the detailed procedure to find GCD of 905, 398, 800?

You can find a detailed procedure to find GCD of 905, 398, 800 on our page.

3. How to find GCD of 905, 398, 800 on a calculator?

You can find the GCD of 905, 398, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.