GCD of 999, 489, 606, 690 Calculator

Given Input numbers are 999, 489, 606, 690

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (999, 489, 606, 690) = 3.

Given numbers are 999, 489, 606, 690

The list of prime factors of all numbers are

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

Prime factors of 489 are 3 x 163

Prime factors of 606 are 2 x 3 x 101

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 999, 489, 606, 690 is 3.

Given numbers are 999, 489, 606, 690

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

Apply this formula for all numbers.

Step1:

LCM(999, 489) = 162837

GCD(999, 489) = ( 999 x 489 ) / 162837

= 999 / 489

= 999

Step2:

LCM(3, 606) = 606

GCD(3, 606) = ( 3 x 606 ) / 606

= 3 / 606

= 3

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 999, 489, 606, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 859, 137, 908
• GCD of 524, 948, 492, 483
• GCD of 386, 435, 149, 976
• GCD of 163, 666, 675, 299
• GCD of 501, 625, 193, 556

Given numbers are 999, 489, 606, 690
The greatest common divisor of numbers 999, 489, 606, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 489, 606, 690 is 3.

1. What is the GCD of 999, 489, 606, 690?

GCD of given numbers 999, 489, 606, 690 is 3

2. How to calculate the greatest common divisor of 999, 489, 606, 690?

We can find the highest common divisor of 999, 489, 606, 690 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, 489, 606, 690 i.e 3.

3. How can I use the GCD of 999, 489, 606, 690Calculator?

Out the numbers 999, 489, 606, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.