GCD of 999, 144, 774 Calculator

Given Input numbers are 999, 144, 774

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 999, 144, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 144, 774 is 9.

Therefore, GCD of numbers 999, 144, 774 is 9

Given Input Data is 999, 144, 774

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 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 774 is 2 x 3 x 3 x 43

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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, 144) = 15984

GCD(999, 144) = ( 999 x 144 ) / 15984

GCD(999, 144) = 143856 / 15984

GCD(999, 144) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 774

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

LCM(9, 774) = 774

GCD(9, 774) = ( 9 x 774 ) / 774

GCD(9, 774) = 6966 / 774

GCD(9, 774) = 9

GCD of 999, 144, 774 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 158, 893
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• GCD of 315, 887, 659
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• GCD of 819, 785, 183

1. What is the GCD of 999, 144, 774?

GCD of 999, 144, 774 is 9

2. Where do I get the detailed procedure to find GCD of 999, 144, 774?

You can find a detailed procedure to find GCD of 999, 144, 774 on our page.

3. How to find GCD of 999, 144, 774 on a calculator?

You can find the GCD of 999, 144, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.