GCD of 198, 203, 41, 354 Calculator

Given Input numbers are 198, 203, 41, 354

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 198, 203, 41, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 203, 41, 354 is 1.

Therefore, GCD of numbers 198, 203, 41, 354 is 1

Given Input Data is 198, 203, 41, 354

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 203 is 7 x 29

Prime Factorization of 41 is 41

Prime Factorization of 354 is 2 x 3 x 59

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, 203) = 40194

GCD(198, 203) = ( 198 x 203 ) / 40194

GCD(198, 203) = 40194 / 40194

GCD(198, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 198, 203, 41, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 401, 49, 458
• GCD of 996, 195, 85, 337
• GCD of 251, 480, 36, 660
• GCD of 487, 387, 23, 949
• GCD of 469, 991, 11, 547

1. What is the GCD of 198, 203, 41, 354?

GCD of 198, 203, 41, 354 is 1

2. Where do I get the detailed procedure to find GCD of 198, 203, 41, 354?

You can find a detailed procedure to find GCD of 198, 203, 41, 354 on our page.

3. How to find GCD of 198, 203, 41, 354 on a calculator?

You can find the GCD of 198, 203, 41, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.