GCD of 809, 495, 475, 200 Calculator

Given Input numbers are 809, 495, 475, 200

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 475

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

1, 5, 19, 25, 95, 475

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 809, 495, 475, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 495, 475, 200 is 1.

Therefore, GCD of numbers 809, 495, 475, 200 is 1

Given Input Data is 809, 495, 475, 200

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

Prime Factorization of 809 is 809

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 200 is 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(809, 495) = 400455

GCD(809, 495) = ( 809 x 495 ) / 400455

GCD(809, 495) = 400455 / 400455

GCD(809, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 809, 495, 475, 200 is 1

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• GCD of 679, 190, 332, 878
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• GCD of 558, 687, 123, 707

1. What is the GCD of 809, 495, 475, 200?

GCD of 809, 495, 475, 200 is 1

2. Where do I get the detailed procedure to find GCD of 809, 495, 475, 200?

You can find a detailed procedure to find GCD of 809, 495, 475, 200 on our page.

3. How to find GCD of 809, 495, 475, 200 on a calculator?

You can find the GCD of 809, 495, 475, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.