GCD of 390, 428, 324, 966 Calculator

Given Input numbers are 390, 428, 324, 966

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 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

GCD of numbers is the greatest common divisor

So, the GCD (390, 428, 324, 966) = 2.

Given numbers are 390, 428, 324, 966

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 428 are 2 x 2 x 107

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

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

The highest common occurrence is 2¹

Therefore, GCD of 390, 428, 324, 966 is 2.

Given numbers are 390, 428, 324, 966

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

Apply this formula for all numbers.

Step1:

LCM(390, 428) = 83460

GCD(390, 428) = ( 390 x 428 ) / 83460

= 390 / 428

= 390

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 390, 428, 324, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 204, 162, 519
• GCD of 292, 999, 481, 486
• GCD of 692, 363, 475, 425
• GCD of 731, 788, 935, 642
• GCD of 726, 927, 909, 487

Given numbers are 390, 428, 324, 966
The greatest common divisor of numbers 390, 428, 324, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 428, 324, 966 is 2.

1. What is the GCD of 390, 428, 324, 966?

GCD of given numbers 390, 428, 324, 966 is 2

2. How to calculate the greatest common divisor of 390, 428, 324, 966?

We can find the highest common divisor of 390, 428, 324, 966 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 390, 428, 324, 966 i.e 2.

3. How can I use the GCD of 390, 428, 324, 966Calculator?

Out the numbers 390, 428, 324, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.