GCD of 800, 489, 953 Calculator

Given Input numbers are 800, 489, 953

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 800, 489, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 489, 953 is 1.

Therefore, GCD of numbers 800, 489, 953 is 1

Given Input Data is 800, 489, 953

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 489 is 3 x 163

Prime Factorization of 953 is 953

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, 489) = 391200

GCD(800, 489) = ( 800 x 489 ) / 391200

GCD(800, 489) = 391200 / 391200

GCD(800, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 800, 489, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 731, 247
• GCD of 444, 616, 695
• GCD of 372, 312, 919
• GCD of 220, 230, 678
• GCD of 999, 164, 147

1. What is the GCD of 800, 489, 953?

GCD of 800, 489, 953 is 1

2. Where do I get the detailed procedure to find GCD of 800, 489, 953?

You can find a detailed procedure to find GCD of 800, 489, 953 on our page.

3. How to find GCD of 800, 489, 953 on a calculator?

You can find the GCD of 800, 489, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.