GCD of 204, 960, 830, 324 Calculator

Given Input numbers are 204, 960, 830, 324

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

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

GCD of numbers is the greatest common divisor

So, the GCD (204, 960, 830, 324) = 2.

Given numbers are 204, 960, 830, 324

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 830 are 2 x 5 x 83

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

The highest common occurrence is 2¹

Therefore, GCD of 204, 960, 830, 324 is 2.

Given numbers are 204, 960, 830, 324

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

Apply this formula for all numbers.

Step1:

LCM(204, 960) = 16320

GCD(204, 960) = ( 204 x 960 ) / 16320

= 204 / 960

= 204

Step2:

LCM(12, 830) = 4980

GCD(12, 830) = ( 12 x 830 ) / 4980

= 12 / 830

= 12

Step3:

LCM(2, 324) = 324

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

= 2 / 324

= 2

So, Greatest Common Divisor of 204, 960, 830, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 916, 101, 176
• GCD of 504, 309, 566, 470
• GCD of 567, 463, 917, 696
• GCD of 246, 570, 433, 712
• GCD of 147, 583, 723, 903

Given numbers are 204, 960, 830, 324
The greatest common divisor of numbers 204, 960, 830, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 960, 830, 324 is 2.

1. What is the GCD of 204, 960, 830, 324?

GCD of given numbers 204, 960, 830, 324 is 2

2. How to calculate the greatest common divisor of 204, 960, 830, 324?

We can find the highest common divisor of 204, 960, 830, 324 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 204, 960, 830, 324 i.e 2.

3. How can I use the GCD of 204, 960, 830, 324Calculator?

Out the numbers 204, 960, 830, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.