GCD of 999, 669, 771, 312 Calculator

Given Input numbers are 999, 669, 771, 312

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 999, 669, 771, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 669, 771, 312 is 3.

Therefore, GCD of numbers 999, 669, 771, 312 is 3

Given Input Data is 999, 669, 771, 312

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 669 is 3 x 223

Prime Factorization of 771 is 3 x 257

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(999, 669) = 222777

GCD(999, 669) = ( 999 x 669 ) / 222777

GCD(999, 669) = 668331 / 222777

GCD(999, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 771

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

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

GCD(3, 771) = 2313 / 771

GCD(3, 771) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 312

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

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

GCD(3, 312) = 936 / 312

GCD(3, 312) = 3

GCD of 999, 669, 771, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 935, 149, 813
• GCD of 600, 955, 700, 984
• GCD of 426, 934, 826, 322
• GCD of 877, 758, 971, 962
• GCD of 442, 914, 370, 257

1. What is the GCD of 999, 669, 771, 312?

GCD of 999, 669, 771, 312 is 3

2. Where do I get the detailed procedure to find GCD of 999, 669, 771, 312?

You can find a detailed procedure to find GCD of 999, 669, 771, 312 on our page.

3. How to find GCD of 999, 669, 771, 312 on a calculator?

You can find the GCD of 999, 669, 771, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.