GCD of 309, 330, 966, 323 Calculator

Given Input numbers are 309, 330, 966, 323

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (309, 330, 966, 323) = 1.

Given numbers are 309, 330, 966, 323

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 323 are 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 309, 330, 966, 323

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

Apply this formula for all numbers.

Step1:

LCM(309, 330) = 33990

GCD(309, 330) = ( 309 x 330 ) / 33990

= 309 / 330

= 309

Step2:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

Step3:

LCM(3, 323) = 969

GCD(3, 323) = ( 3 x 323 ) / 969

= 3 / 323

= 3

So, Greatest Common Divisor of 309, 330, 966, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 553, 192, 435
• GCD of 226, 948, 648, 703
• GCD of 651, 904, 304, 742
• GCD of 264, 171, 149, 628
• GCD of 897, 214, 647, 100

Given numbers are 309, 330, 966, 323
The greatest common divisor of numbers 309, 330, 966, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 330, 966, 323 is 1.

1. What is the GCD of 309, 330, 966, 323?

GCD of given numbers 309, 330, 966, 323 is 1

2. How to calculate the greatest common divisor of 309, 330, 966, 323?

We can find the highest common divisor of 309, 330, 966, 323 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 309, 330, 966, 323 i.e 1.

3. How can I use the GCD of 309, 330, 966, 323Calculator?

Out the numbers 309, 330, 966, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.