GCD of 999, 600, 996 Calculator

Given Input numbers are 999, 600, 996

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (999, 600, 996) = 3.

Given numbers are 999, 600, 996

The list of prime factors of all numbers are

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 999, 600, 996 is 3.

Given numbers are 999, 600, 996

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

Apply this formula for all numbers.

Step1:

LCM(999, 600) = 199800

GCD(999, 600) = ( 999 x 600 ) / 199800

= 999 / 600

= 999

Step2:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 999, 600, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 484, 978
• GCD of 103, 591, 370
• GCD of 114, 254, 861
• GCD of 259, 721, 659
• GCD of 363, 972, 478

Given numbers are 999, 600, 996
The greatest common divisor of numbers 999, 600, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 600, 996 is 3.

1. What is the GCD of 999, 600, 996?

GCD of given numbers 999, 600, 996 is 3

2. How to calculate the greatest common divisor of 999, 600, 996?

We can find the highest common divisor of 999, 600, 996 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, 600, 996 i.e 3.

3. How can I use the GCD of 999, 600, 996Calculator?

Out the numbers 999, 600, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.