GCD of 999, 228, 678 Calculator

Given Input numbers are 999, 228, 678

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

Divisors of 999 :

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

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

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (999, 228, 678) = 3.

Given numbers are 999, 228, 678

The list of prime factors of all numbers are

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

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

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 999, 228, 678 is 3.

Given numbers are 999, 228, 678

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

Apply this formula for all numbers.

Step1:

LCM(999, 228) = 75924

GCD(999, 228) = ( 999 x 228 ) / 75924

= 999 / 228

= 999

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 999, 228, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 271, 387
• GCD of 336, 687, 333
• GCD of 517, 951, 955
• GCD of 190, 945, 964
• GCD of 994, 349, 810

Given numbers are 999, 228, 678
The greatest common divisor of numbers 999, 228, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 228, 678 is 3.

1. What is the GCD of 999, 228, 678?

GCD of given numbers 999, 228, 678 is 3

2. How to calculate the greatest common divisor of 999, 228, 678?

We can find the highest common divisor of 999, 228, 678 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 999, 228, 678 i.e 3.

3. How can I use the GCD of 999, 228, 678Calculator?

Out the numbers 999, 228, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.