GCD of 990, 823, 29, 313 Calculator

Given Input numbers are 990, 823, 29, 313

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 823

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

1, 823

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 990, 823, 29, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 823, 29, 313 is 1.

Therefore, GCD of numbers 990, 823, 29, 313 is 1

Given Input Data is 990, 823, 29, 313

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 823 is 823

Prime Factorization of 29 is 29

Prime Factorization of 313 is 313

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(990, 823) = 814770

GCD(990, 823) = ( 990 x 823 ) / 814770

GCD(990, 823) = 814770 / 814770

GCD(990, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 990, 823, 29, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 556, 94, 710
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• GCD of 684, 460, 21, 591

1. What is the GCD of 990, 823, 29, 313?

GCD of 990, 823, 29, 313 is 1

2. Where do I get the detailed procedure to find GCD of 990, 823, 29, 313?

You can find a detailed procedure to find GCD of 990, 823, 29, 313 on our page.

3. How to find GCD of 990, 823, 29, 313 on a calculator?

You can find the GCD of 990, 823, 29, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.