GCD of 198, 396, 18, 315 Calculator

Given Input numbers are 198, 396, 18, 315

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 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

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (198, 396, 18, 315) = 9.

Given numbers are 198, 396, 18, 315

The list of prime factors of all numbers are

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

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

Prime factors of 18 are 2 x 3 x 3

Prime factors of 315 are 3 x 3 x 5 x 7

The highest common occurrence is 3²

Therefore, GCD of 198, 396, 18, 315 is 9.

Given numbers are 198, 396, 18, 315

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

Apply this formula for all numbers.

Step1:

LCM(198, 396) = 396

GCD(198, 396) = ( 198 x 396 ) / 396

= 198 / 396

= 198

Step2:

LCM(198, 18) = 198

GCD(198, 18) = ( 198 x 18 ) / 198

= 198 / 18

= 198

Step3:

LCM(18, 315) = 630

GCD(18, 315) = ( 18 x 315 ) / 630

= 18 / 315

= 18

So, Greatest Common Divisor of 198, 396, 18, 315 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 426, 92, 721
• GCD of 898, 304, 59, 890
• GCD of 583, 595, 60, 966
• GCD of 162, 169, 78, 580
• GCD of 571, 251, 84, 213

Given numbers are 198, 396, 18, 315
The greatest common divisor of numbers 198, 396, 18, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 396, 18, 315 is 9.

1. What is the GCD of 198, 396, 18, 315?

GCD of given numbers 198, 396, 18, 315 is 9

2. How to calculate the greatest common divisor of 198, 396, 18, 315?

We can find the highest common divisor of 198, 396, 18, 315 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, 396, 18, 315 i.e 9.

3. How can I use the GCD of 198, 396, 18, 315Calculator?

Out the numbers 198, 396, 18, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.