GCD of 999, 738, 897, 165 Calculator

Given Input numbers are 999, 738, 897, 165

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 999, 738, 897, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 738, 897, 165 is 3.

Therefore, GCD of numbers 999, 738, 897, 165 is 3

Given Input Data is 999, 738, 897, 165

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 738 is 2 x 3 x 3 x 41

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 165 is 3 x 5 x 11

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, 738) = 81918

GCD(999, 738) = ( 999 x 738 ) / 81918

GCD(999, 738) = 737262 / 81918

GCD(999, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 897

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

LCM(9, 897) = 2691

GCD(9, 897) = ( 9 x 897 ) / 2691

GCD(9, 897) = 8073 / 2691

GCD(9, 897) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 165

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

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

GCD(3, 165) = 495 / 165

GCD(3, 165) = 3

GCD of 999, 738, 897, 165 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 693, 992, 918
• GCD of 983, 341, 162, 827
• GCD of 617, 904, 792, 955
• GCD of 384, 648, 350, 864
• GCD of 244, 297, 996, 442

1. What is the GCD of 999, 738, 897, 165?

GCD of 999, 738, 897, 165 is 3

2. Where do I get the detailed procedure to find GCD of 999, 738, 897, 165?

You can find a detailed procedure to find GCD of 999, 738, 897, 165 on our page.

3. How to find GCD of 999, 738, 897, 165 on a calculator?

You can find the GCD of 999, 738, 897, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.