GCD of 433, 217, 405, 198 Calculator

Given Input numbers are 433, 217, 405, 198

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

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

Greatest Common Divisior

We found the divisors of 433, 217, 405, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 217, 405, 198 is 1.

Therefore, GCD of numbers 433, 217, 405, 198 is 1

Given Input Data is 433, 217, 405, 198

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

Prime Factorization of 433 is 433

Prime Factorization of 217 is 7 x 31

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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

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(433, 217) = 93961

GCD(433, 217) = ( 433 x 217 ) / 93961

GCD(433, 217) = 93961 / 93961

GCD(433, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 433, 217, 405, 198 is 1

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• GCD of 197, 951, 800, 561
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• GCD of 113, 371, 532, 511

1. What is the GCD of 433, 217, 405, 198?

GCD of 433, 217, 405, 198 is 1

2. Where do I get the detailed procedure to find GCD of 433, 217, 405, 198?

You can find a detailed procedure to find GCD of 433, 217, 405, 198 on our page.

3. How to find GCD of 433, 217, 405, 198 on a calculator?

You can find the GCD of 433, 217, 405, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.