GCD of 999, 234, 93, 343 Calculator

Given Input numbers are 999, 234, 93, 343

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 999, 234, 93, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 234, 93, 343 is 1.

Therefore, GCD of numbers 999, 234, 93, 343 is 1

Given Input Data is 999, 234, 93, 343

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 234 is 2 x 3 x 3 x 13

Prime Factorization of 93 is 3 x 31

Prime Factorization of 343 is 7 x 7 x 7

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, 234) = 25974

GCD(999, 234) = ( 999 x 234 ) / 25974

GCD(999, 234) = 233766 / 25974

GCD(999, 234) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 93

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

LCM(9, 93) = 279

GCD(9, 93) = ( 9 x 93 ) / 279

GCD(9, 93) = 837 / 279

GCD(9, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

GCD of 999, 234, 93, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 413, 91, 529
• GCD of 938, 228, 26, 974
• GCD of 526, 886, 44, 993
• GCD of 334, 807, 13, 383
• GCD of 680, 303, 35, 754

1. What is the GCD of 999, 234, 93, 343?

GCD of 999, 234, 93, 343 is 1

2. Where do I get the detailed procedure to find GCD of 999, 234, 93, 343?

You can find a detailed procedure to find GCD of 999, 234, 93, 343 on our page.

3. How to find GCD of 999, 234, 93, 343 on a calculator?

You can find the GCD of 999, 234, 93, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.