GCD of 405, 232, 75, 198 Calculator

Given Input numbers are 405, 232, 75, 198

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

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 405, 232, 75, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 232, 75, 198 is 1.

Therefore, GCD of numbers 405, 232, 75, 198 is 1

Given Input Data is 405, 232, 75, 198

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

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 75 is 3 x 5 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(405, 232) = 93960

GCD(405, 232) = ( 405 x 232 ) / 93960

GCD(405, 232) = 93960 / 93960

GCD(405, 232) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 405, 232, 75, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 388, 69, 491
• GCD of 926, 147, 14, 687
• GCD of 640, 920, 56, 760
• GCD of 226, 588, 87, 845
• GCD of 145, 655, 20, 967

1. What is the GCD of 405, 232, 75, 198?

GCD of 405, 232, 75, 198 is 1

2. Where do I get the detailed procedure to find GCD of 405, 232, 75, 198?

You can find a detailed procedure to find GCD of 405, 232, 75, 198 on our page.

3. How to find GCD of 405, 232, 75, 198 on a calculator?

You can find the GCD of 405, 232, 75, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.