GCD of 475, 344, 800 Calculator

Given Input numbers are 475, 344, 800

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

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 475, 344, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 344, 800 is 1.

Therefore, GCD of numbers 475, 344, 800 is 1

Given Input Data is 475, 344, 800

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(475, 344) = 163400

GCD(475, 344) = ( 475 x 344 ) / 163400

GCD(475, 344) = 163400 / 163400

GCD(475, 344) = 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 475, 344, 800 is 1

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1. What is the GCD of 475, 344, 800?

GCD of 475, 344, 800 is 1

2. Where do I get the detailed procedure to find GCD of 475, 344, 800?

You can find a detailed procedure to find GCD of 475, 344, 800 on our page.

3. How to find GCD of 475, 344, 800 on a calculator?

You can find the GCD of 475, 344, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.