GCD of 399, 689, 90, 822 Calculator

Given Input numbers are 399, 689, 90, 822

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 399, 689, 90, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 689, 90, 822 is 1.

Therefore, GCD of numbers 399, 689, 90, 822 is 1

Given Input Data is 399, 689, 90, 822

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 689 is 13 x 53

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 822 is 2 x 3 x 137

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(399, 689) = 274911

GCD(399, 689) = ( 399 x 689 ) / 274911

GCD(399, 689) = 274911 / 274911

GCD(399, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 399, 689, 90, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 871, 91, 702
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• GCD of 396, 911, 51, 172
• GCD of 393, 108, 44, 409

1. What is the GCD of 399, 689, 90, 822?

GCD of 399, 689, 90, 822 is 1

2. Where do I get the detailed procedure to find GCD of 399, 689, 90, 822?

You can find a detailed procedure to find GCD of 399, 689, 90, 822 on our page.

3. How to find GCD of 399, 689, 90, 822 on a calculator?

You can find the GCD of 399, 689, 90, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.