GCD of 198, 233, 813, 564 Calculator

Given Input numbers are 198, 233, 813, 564

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

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 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 198, 233, 813, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 233, 813, 564 is 1.

Therefore, GCD of numbers 198, 233, 813, 564 is 1

Given Input Data is 198, 233, 813, 564

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 233 is 233

Prime Factorization of 813 is 3 x 271

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(198, 233) = 46134

GCD(198, 233) = ( 198 x 233 ) / 46134

GCD(198, 233) = 46134 / 46134

GCD(198, 233) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 198, 233, 813, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 713, 460, 278
• GCD of 687, 931, 252, 491
• GCD of 920, 831, 727, 772
• GCD of 671, 478, 498, 604
• GCD of 782, 347, 349, 241

1. What is the GCD of 198, 233, 813, 564?

GCD of 198, 233, 813, 564 is 1

2. Where do I get the detailed procedure to find GCD of 198, 233, 813, 564?

You can find a detailed procedure to find GCD of 198, 233, 813, 564 on our page.

3. How to find GCD of 198, 233, 813, 564 on a calculator?

You can find the GCD of 198, 233, 813, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.