GCD of 361, 441, 405, 198 Calculator

Given Input numbers are 361, 441, 405, 198

In the factoring method, we have to find the divisors of all numbers

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (361, 441, 405, 198) = 1.

Given numbers are 361, 441, 405, 198

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 361, 441, 405, 198

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(361, 441) = 159201

GCD(361, 441) = ( 361 x 441 ) / 159201

= 361 / 441

= 361

Step2:

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

= 1 / 405

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 361, 441, 405, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 363, 352, 271
• GCD of 413, 477, 323, 107
• GCD of 100, 602, 670, 938
• GCD of 211, 794, 236, 987
• GCD of 650, 783, 146, 576

Given numbers are 361, 441, 405, 198
The greatest common divisor of numbers 361, 441, 405, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 441, 405, 198 is 1.

1. What is the GCD of 361, 441, 405, 198?

GCD of given numbers 361, 441, 405, 198 is 1

2. How to calculate the greatest common divisor of 361, 441, 405, 198?

We can find the highest common divisor of 361, 441, 405, 198 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 361, 441, 405, 198 i.e 1.

3. How can I use the GCD of 361, 441, 405, 198Calculator?

Out the numbers 361, 441, 405, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.