GCD of 198, 321, 927, 396 Calculator

Given Input numbers are 198, 321, 927, 396

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

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (198, 321, 927, 396) = 3.

Given numbers are 198, 321, 927, 396

The list of prime factors of all numbers are

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

Prime factors of 321 are 3 x 107

Prime factors of 927 are 3 x 3 x 103

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 198, 321, 927, 396 is 3.

Given numbers are 198, 321, 927, 396

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

Apply this formula for all numbers.

Step1:

LCM(198, 321) = 21186

GCD(198, 321) = ( 198 x 321 ) / 21186

= 198 / 321

= 198

Step2:

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

= 3 / 927

= 3

Step3:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

So, Greatest Common Divisor of 198, 321, 927, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 607, 267, 785
• GCD of 161, 891, 911, 629
• GCD of 313, 881, 452, 264
• GCD of 956, 165, 879, 913
• GCD of 190, 912, 390, 183

Given numbers are 198, 321, 927, 396
The greatest common divisor of numbers 198, 321, 927, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 321, 927, 396 is 3.

1. What is the GCD of 198, 321, 927, 396?

GCD of given numbers 198, 321, 927, 396 is 3

2. How to calculate the greatest common divisor of 198, 321, 927, 396?

We can find the highest common divisor of 198, 321, 927, 396 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 198, 321, 927, 396 i.e 3.

3. How can I use the GCD of 198, 321, 927, 396Calculator?

Out the numbers 198, 321, 927, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.