GCD of 404, 263, 361, 198 Calculator

Given Input numbers are 404, 263, 361, 198

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 404, 263, 361, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 263, 361, 198 is 1.

Therefore, GCD of numbers 404, 263, 361, 198 is 1

Given Input Data is 404, 263, 361, 198

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 263 is 263

Prime Factorization of 361 is 19 x 19

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(404, 263) = 106252

GCD(404, 263) = ( 404 x 263 ) / 106252

GCD(404, 263) = 106252 / 106252

GCD(404, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 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 404, 263, 361, 198 is 1

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1. What is the GCD of 404, 263, 361, 198?

GCD of 404, 263, 361, 198 is 1

2. Where do I get the detailed procedure to find GCD of 404, 263, 361, 198?

You can find a detailed procedure to find GCD of 404, 263, 361, 198 on our page.

3. How to find GCD of 404, 263, 361, 198 on a calculator?

You can find the GCD of 404, 263, 361, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.