GCD of 324, 327, 816, 297 Calculator

Given Input numbers are 324, 327, 816, 297

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

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 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

GCD of numbers is the greatest common divisor

So, the GCD (324, 327, 816, 297) = 3.

Given numbers are 324, 327, 816, 297

The list of prime factors of all numbers are

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

Prime factors of 327 are 3 x 109

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 297 are 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 324, 327, 816, 297 is 3.

Given numbers are 324, 327, 816, 297

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

Apply this formula for all numbers.

Step1:

LCM(324, 327) = 35316

GCD(324, 327) = ( 324 x 327 ) / 35316

= 324 / 327

= 324

Step2:

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

= 3 / 816

= 3

Step3:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3

So, Greatest Common Divisor of 324, 327, 816, 297 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 613, 460, 654
• GCD of 144, 438, 619, 753
• GCD of 180, 629, 408, 913
• GCD of 270, 161, 273, 609
• GCD of 719, 954, 882, 634

Given numbers are 324, 327, 816, 297
The greatest common divisor of numbers 324, 327, 816, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 327, 816, 297 is 3.

1. What is the GCD of 324, 327, 816, 297?

GCD of given numbers 324, 327, 816, 297 is 3

2. How to calculate the greatest common divisor of 324, 327, 816, 297?

We can find the highest common divisor of 324, 327, 816, 297 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 324, 327, 816, 297 i.e 3.

3. How can I use the GCD of 324, 327, 816, 297Calculator?

Out the numbers 324, 327, 816, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.