GCD of 82, 364, 317, 800 Calculator

Given Input numbers are 82, 364, 317, 800

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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

Greatest Common Divisior

We found the divisors of 82, 364, 317, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 364, 317, 800 is 1.

Therefore, GCD of numbers 82, 364, 317, 800 is 1

Given Input Data is 82, 364, 317, 800

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 317 is 317

Prime Factorization of 800 is 2 x 2 x 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(82, 364) = 14924

GCD(82, 364) = ( 82 x 364 ) / 14924

GCD(82, 364) = 29848 / 14924

GCD(82, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 82, 364, 317, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 960, 732, 529
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• GCD of 17, 526, 591, 355
• GCD of 48, 737, 567, 248

1. What is the GCD of 82, 364, 317, 800?

GCD of 82, 364, 317, 800 is 1

2. Where do I get the detailed procedure to find GCD of 82, 364, 317, 800?

You can find a detailed procedure to find GCD of 82, 364, 317, 800 on our page.

3. How to find GCD of 82, 364, 317, 800 on a calculator?

You can find the GCD of 82, 364, 317, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.