GCD of 198, 511, 74, 423 Calculator

Given Input numbers are 198, 511, 74, 423

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 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 198, 511, 74, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 511, 74, 423 is 1.

Therefore, GCD of numbers 198, 511, 74, 423 is 1

Given Input Data is 198, 511, 74, 423

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 511 is 7 x 73

Prime Factorization of 74 is 2 x 37

Prime Factorization of 423 is 3 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, 511) = 101178

GCD(198, 511) = ( 198 x 511 ) / 101178

GCD(198, 511) = 101178 / 101178

GCD(198, 511) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 198, 511, 74, 423 is 1

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1. What is the GCD of 198, 511, 74, 423?

GCD of 198, 511, 74, 423 is 1

2. Where do I get the detailed procedure to find GCD of 198, 511, 74, 423?

You can find a detailed procedure to find GCD of 198, 511, 74, 423 on our page.

3. How to find GCD of 198, 511, 74, 423 on a calculator?

You can find the GCD of 198, 511, 74, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.