GCD of 999, 747, 38, 348 Calculator

Given Input numbers are 999, 747, 38, 348

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 999, 747, 38, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 747, 38, 348 is 1.

Therefore, GCD of numbers 999, 747, 38, 348 is 1

Given Input Data is 999, 747, 38, 348

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 747 is 3 x 3 x 83

Prime Factorization of 38 is 2 x 19

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 747) = 82917

GCD(999, 747) = ( 999 x 747 ) / 82917

GCD(999, 747) = 746253 / 82917

GCD(999, 747) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 38

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

LCM(9, 38) = 342

GCD(9, 38) = ( 9 x 38 ) / 342

GCD(9, 38) = 342 / 342

GCD(9, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 999, 747, 38, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 784, 52, 813
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• GCD of 820, 319, 33, 115

1. What is the GCD of 999, 747, 38, 348?

GCD of 999, 747, 38, 348 is 1

2. Where do I get the detailed procedure to find GCD of 999, 747, 38, 348?

You can find a detailed procedure to find GCD of 999, 747, 38, 348 on our page.

3. How to find GCD of 999, 747, 38, 348 on a calculator?

You can find the GCD of 999, 747, 38, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.