GCD of 999, 363, 838, 749 Calculator

Given Input numbers are 999, 363, 838, 749

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 999, 363, 838, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 363, 838, 749 is 1.

Therefore, GCD of numbers 999, 363, 838, 749 is 1

Given Input Data is 999, 363, 838, 749

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 363 is 3 x 11 x 11

Prime Factorization of 838 is 2 x 419

Prime Factorization of 749 is 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

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, 363) = 120879

GCD(999, 363) = ( 999 x 363 ) / 120879

GCD(999, 363) = 362637 / 120879

GCD(999, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 838

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

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

GCD(3, 838) = 2514 / 2514

GCD(3, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 999, 363, 838, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 465, 121, 145
• GCD of 156, 792, 282, 224
• GCD of 457, 269, 738, 634
• GCD of 802, 482, 729, 999
• GCD of 221, 824, 188, 569

1. What is the GCD of 999, 363, 838, 749?

GCD of 999, 363, 838, 749 is 1

2. Where do I get the detailed procedure to find GCD of 999, 363, 838, 749?

You can find a detailed procedure to find GCD of 999, 363, 838, 749 on our page.

3. How to find GCD of 999, 363, 838, 749 on a calculator?

You can find the GCD of 999, 363, 838, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.