GCD of 228, 609, 999, 960 Calculator

Given Input numbers are 228, 609, 999, 960

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

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

GCD of numbers is the greatest common divisor

So, the GCD (228, 609, 999, 960) = 3.

Given numbers are 228, 609, 999, 960

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 609 are 3 x 7 x 29

Prime factors of 999 are 3 x 3 x 3 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 228, 609, 999, 960 is 3.

Given numbers are 228, 609, 999, 960

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

Apply this formula for all numbers.

Step1:

LCM(228, 609) = 46284

GCD(228, 609) = ( 228 x 609 ) / 46284

= 228 / 609

= 228

Step2:

LCM(3, 999) = 999

GCD(3, 999) = ( 3 x 999 ) / 999

= 3 / 999

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 228, 609, 999, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 446, 257, 950
• GCD of 378, 635, 993, 945
• GCD of 688, 398, 773, 880
• GCD of 243, 772, 922, 404
• GCD of 457, 939, 191, 853

Given numbers are 228, 609, 999, 960
The greatest common divisor of numbers 228, 609, 999, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 609, 999, 960 is 3.

1. What is the GCD of 228, 609, 999, 960?

GCD of given numbers 228, 609, 999, 960 is 3

2. How to calculate the greatest common divisor of 228, 609, 999, 960?

We can find the highest common divisor of 228, 609, 999, 960 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 228, 609, 999, 960 i.e 3.

3. How can I use the GCD of 228, 609, 999, 960Calculator?

Out the numbers 228, 609, 999, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.