GCD of 324, 644, 390, 946 Calculator

Given Input numbers are 324, 644, 390, 946

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (324, 644, 390, 946) = 2.

Given numbers are 324, 644, 390, 946

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 644 are 2 x 2 x 7 x 23

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

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 324, 644, 390, 946 is 2.

Given numbers are 324, 644, 390, 946

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

Apply this formula for all numbers.

Step1:

LCM(324, 644) = 52164

GCD(324, 644) = ( 324 x 644 ) / 52164

= 324 / 644

= 324

Step2:

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

= 4 / 390

= 4

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 324, 644, 390, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 464, 804, 822
• GCD of 407, 168, 465, 307
• GCD of 467, 798, 392, 336
• GCD of 538, 469, 976, 669
• GCD of 680, 209, 681, 734

Given numbers are 324, 644, 390, 946
The greatest common divisor of numbers 324, 644, 390, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 644, 390, 946 is 2.

1. What is the GCD of 324, 644, 390, 946?

GCD of given numbers 324, 644, 390, 946 is 2

2. How to calculate the greatest common divisor of 324, 644, 390, 946?

We can find the highest common divisor of 324, 644, 390, 946 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, 644, 390, 946 i.e 2.

3. How can I use the GCD of 324, 644, 390, 946Calculator?

Out the numbers 324, 644, 390, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.