GCD of 208, 299, 33, 823 Calculator

Given Input numbers are 208, 299, 33, 823

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 208, 299, 33, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 299, 33, 823 is 1.

Therefore, GCD of numbers 208, 299, 33, 823 is 1

Given Input Data is 208, 299, 33, 823

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 299 is 13 x 23

Prime Factorization of 33 is 3 x 11

Prime Factorization of 823 is 823

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(208, 299) = 4784

GCD(208, 299) = ( 208 x 299 ) / 4784

GCD(208, 299) = 62192 / 4784

GCD(208, 299) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 33

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

LCM(13, 33) = 429

GCD(13, 33) = ( 13 x 33 ) / 429

GCD(13, 33) = 429 / 429

GCD(13, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 208, 299, 33, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 389, 10, 491
• GCD of 874, 125, 39, 834
• GCD of 759, 299, 73, 594
• GCD of 337, 989, 33, 156
• GCD of 102, 443, 12, 878

1. What is the GCD of 208, 299, 33, 823?

GCD of 208, 299, 33, 823 is 1

2. Where do I get the detailed procedure to find GCD of 208, 299, 33, 823?

You can find a detailed procedure to find GCD of 208, 299, 33, 823 on our page.

3. How to find GCD of 208, 299, 33, 823 on a calculator?

You can find the GCD of 208, 299, 33, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.