GCD of 574, 329, 438, 800 Calculator

Given Input numbers are 574, 329, 438, 800

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 574, 329, 438, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 329, 438, 800 is 1.

Therefore, GCD of numbers 574, 329, 438, 800 is 1

Given Input Data is 574, 329, 438, 800

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 329 is 7 x 47

Prime Factorization of 438 is 2 x 3 x 73

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(574, 329) = 26978

GCD(574, 329) = ( 574 x 329 ) / 26978

GCD(574, 329) = 188846 / 26978

GCD(574, 329) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 438

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

LCM(7, 438) = 3066

GCD(7, 438) = ( 7 x 438 ) / 3066

GCD(7, 438) = 3066 / 3066

GCD(7, 438) = 1

Step3:

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 574, 329, 438, 800 is 1

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1. What is the GCD of 574, 329, 438, 800?

GCD of 574, 329, 438, 800 is 1

2. Where do I get the detailed procedure to find GCD of 574, 329, 438, 800?

You can find a detailed procedure to find GCD of 574, 329, 438, 800 on our page.

3. How to find GCD of 574, 329, 438, 800 on a calculator?

You can find the GCD of 574, 329, 438, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.