GCD of 396, 304, 412, 362 Calculator

Given Input numbers are 396, 304, 412, 362

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

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (396, 304, 412, 362) = 2.

Given numbers are 396, 304, 412, 362

The list of prime factors of all numbers are

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

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 412 are 2 x 2 x 103

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 396, 304, 412, 362 is 2.

Given numbers are 396, 304, 412, 362

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

Apply this formula for all numbers.

Step1:

LCM(396, 304) = 30096

GCD(396, 304) = ( 396 x 304 ) / 30096

= 396 / 304

= 396

Step2:

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

= 4 / 412

= 4

Step3:

LCM(4, 362) = 724

GCD(4, 362) = ( 4 x 362 ) / 724

= 4 / 362

= 4

So, Greatest Common Divisor of 396, 304, 412, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 445, 807, 637
• GCD of 383, 908, 344, 670
• GCD of 835, 332, 411, 102
• GCD of 725, 188, 162, 459
• GCD of 683, 353, 181, 483

Given numbers are 396, 304, 412, 362
The greatest common divisor of numbers 396, 304, 412, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 304, 412, 362 is 2.

1. What is the GCD of 396, 304, 412, 362?

GCD of given numbers 396, 304, 412, 362 is 2

2. How to calculate the greatest common divisor of 396, 304, 412, 362?

We can find the highest common divisor of 396, 304, 412, 362 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 396, 304, 412, 362 i.e 2.

3. How can I use the GCD of 396, 304, 412, 362Calculator?

Out the numbers 396, 304, 412, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.