GCD of 800, 756, 585 Calculator

Given Input numbers are 800, 756, 585

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 800, 756, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 756, 585 is 1.

Therefore, GCD of numbers 800, 756, 585 is 1

Given Input Data is 800, 756, 585

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 585 is 3 x 3 x 5 x 13

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, 756) = 151200

GCD(800, 756) = ( 800 x 756 ) / 151200

GCD(800, 756) = 604800 / 151200

GCD(800, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 585

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

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

GCD(4, 585) = 2340 / 2340

GCD(4, 585) = 1

GCD of 800, 756, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 956, 800
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• GCD of 448, 950, 314
• GCD of 216, 353, 502
• GCD of 867, 770, 731

1. What is the GCD of 800, 756, 585?

GCD of 800, 756, 585 is 1

2. Where do I get the detailed procedure to find GCD of 800, 756, 585?

You can find a detailed procedure to find GCD of 800, 756, 585 on our page.

3. How to find GCD of 800, 756, 585 on a calculator?

You can find the GCD of 800, 756, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.