GCD of 810, 471, 353, 800 Calculator

Given Input numbers are 810, 471, 353, 800

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 810, 471, 353, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 471, 353, 800 is 1.

Therefore, GCD of numbers 810, 471, 353, 800 is 1

Given Input Data is 810, 471, 353, 800

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 471 is 3 x 157

Prime Factorization of 353 is 353

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(810, 471) = 127170

GCD(810, 471) = ( 810 x 471 ) / 127170

GCD(810, 471) = 381510 / 127170

GCD(810, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 353

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

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

GCD(3, 353) = 1059 / 1059

GCD(3, 353) = 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 810, 471, 353, 800 is 1

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• GCD of 802, 909, 559, 492
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1. What is the GCD of 810, 471, 353, 800?

GCD of 810, 471, 353, 800 is 1

2. Where do I get the detailed procedure to find GCD of 810, 471, 353, 800?

You can find a detailed procedure to find GCD of 810, 471, 353, 800 on our page.

3. How to find GCD of 810, 471, 353, 800 on a calculator?

You can find the GCD of 810, 471, 353, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.