GCD of 130, 198, 823 Calculator

Given Input numbers are 130, 198, 823

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 130, 198, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 198, 823 is 1.

Therefore, GCD of numbers 130, 198, 823 is 1

Given Input Data is 130, 198, 823

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 198 is 2 x 3 x 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(130, 198) = 12870

GCD(130, 198) = ( 130 x 198 ) / 12870

GCD(130, 198) = 25740 / 12870

GCD(130, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 130, 198, 823 is 1

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1. What is the GCD of 130, 198, 823?

GCD of 130, 198, 823 is 1

2. Where do I get the detailed procedure to find GCD of 130, 198, 823?

You can find a detailed procedure to find GCD of 130, 198, 823 on our page.

3. How to find GCD of 130, 198, 823 on a calculator?

You can find the GCD of 130, 198, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.