GCD of 596, 324, 198, 364 Calculator

Given Input numbers are 596, 324, 198, 364

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (596, 324, 198, 364) = 2.

Given numbers are 596, 324, 198, 364

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 596, 324, 198, 364 is 2.

Given numbers are 596, 324, 198, 364

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

Apply this formula for all numbers.

Step1:

LCM(596, 324) = 48276

GCD(596, 324) = ( 596 x 324 ) / 48276

= 596 / 324

= 596

Step2:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 596, 324, 198, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 835, 429, 173
• GCD of 506, 429, 490, 212
• GCD of 547, 757, 512, 309
• GCD of 974, 808, 182, 200
• GCD of 461, 242, 971, 184

Given numbers are 596, 324, 198, 364
The greatest common divisor of numbers 596, 324, 198, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 324, 198, 364 is 2.

1. What is the GCD of 596, 324, 198, 364?

GCD of given numbers 596, 324, 198, 364 is 2

2. How to calculate the greatest common divisor of 596, 324, 198, 364?

We can find the highest common divisor of 596, 324, 198, 364 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 596, 324, 198, 364 i.e 2.

3. How can I use the GCD of 596, 324, 198, 364Calculator?

Out the numbers 596, 324, 198, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.