GCD of 800, 687, 217 Calculator

Given Input numbers are 800, 687, 217

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 800, 687, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 687, 217 is 1.

Therefore, GCD of numbers 800, 687, 217 is 1

Given Input Data is 800, 687, 217

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 687 is 3 x 229

Prime Factorization of 217 is 7 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, 687) = 549600

GCD(800, 687) = ( 800 x 687 ) / 549600

GCD(800, 687) = 549600 / 549600

GCD(800, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 800, 687, 217 is 1

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• GCD of 741, 748, 275
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1. What is the GCD of 800, 687, 217?

GCD of 800, 687, 217 is 1

2. Where do I get the detailed procedure to find GCD of 800, 687, 217?

You can find a detailed procedure to find GCD of 800, 687, 217 on our page.

3. How to find GCD of 800, 687, 217 on a calculator?

You can find the GCD of 800, 687, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.