GCD of 999, 666, 900, 222 Calculator

Given Input numbers are 999, 666, 900, 222

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 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (999, 666, 900, 222) = 3.

Given numbers are 999, 666, 900, 222

The list of prime factors of all numbers are

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

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 999, 666, 900, 222 is 3.

Given numbers are 999, 666, 900, 222

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

Apply this formula for all numbers.

Step1:

LCM(999, 666) = 1998

GCD(999, 666) = ( 999 x 666 ) / 1998

= 999 / 666

= 999

Step2:

LCM(333, 900) = 33300

GCD(333, 900) = ( 333 x 900 ) / 33300

= 333 / 900

= 333

Step3:

LCM(9, 222) = 666

GCD(9, 222) = ( 9 x 222 ) / 666

= 9 / 222

= 9

So, Greatest Common Divisor of 999, 666, 900, 222 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 129, 425, 526
• GCD of 455, 112, 634, 821
• GCD of 101, 897, 820, 333
• GCD of 559, 411, 136, 999
• GCD of 292, 848, 594, 740

Given numbers are 999, 666, 900, 222
The greatest common divisor of numbers 999, 666, 900, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 666, 900, 222 is 3.

1. What is the GCD of 999, 666, 900, 222?

GCD of given numbers 999, 666, 900, 222 is 3

2. How to calculate the greatest common divisor of 999, 666, 900, 222?

We can find the highest common divisor of 999, 666, 900, 222 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, 666, 900, 222 i.e 3.

3. How can I use the GCD of 999, 666, 900, 222Calculator?

Out the numbers 999, 666, 900, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.