GCD of 198, 433, 338, 542 Calculator

Given Input numbers are 198, 433, 338, 542

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 433

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

1, 433

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 198, 433, 338, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 433, 338, 542 is 1.

Therefore, GCD of numbers 198, 433, 338, 542 is 1

Given Input Data is 198, 433, 338, 542

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 433 is 433

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 542 is 2 x 271

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, 433) = 85734

GCD(198, 433) = ( 198 x 433 ) / 85734

GCD(198, 433) = 85734 / 85734

GCD(198, 433) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 198, 433, 338, 542 is 1

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• GCD of 495, 994, 210, 786
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1. What is the GCD of 198, 433, 338, 542?

GCD of 198, 433, 338, 542 is 1

2. Where do I get the detailed procedure to find GCD of 198, 433, 338, 542?

You can find a detailed procedure to find GCD of 198, 433, 338, 542 on our page.

3. How to find GCD of 198, 433, 338, 542 on a calculator?

You can find the GCD of 198, 433, 338, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.