GCD of 800, 477, 682 Calculator

Given Input numbers are 800, 477, 682

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

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 800, 477, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 477, 682 is 1.

Therefore, GCD of numbers 800, 477, 682 is 1

Given Input Data is 800, 477, 682

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

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 682 is 2 x 11 x 31

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(800, 477) = 381600

GCD(800, 477) = ( 800 x 477 ) / 381600

GCD(800, 477) = 381600 / 381600

GCD(800, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 800, 477, 682 is 1

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1. What is the GCD of 800, 477, 682?

GCD of 800, 477, 682 is 1

2. Where do I get the detailed procedure to find GCD of 800, 477, 682?

You can find a detailed procedure to find GCD of 800, 477, 682 on our page.

3. How to find GCD of 800, 477, 682 on a calculator?

You can find the GCD of 800, 477, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.