GCD of 923, 204, 14, 793 Calculator

Given Input numbers are 923, 204, 14, 793

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 923, 204, 14, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 204, 14, 793 is 1.

Therefore, GCD of numbers 923, 204, 14, 793 is 1

Given Input Data is 923, 204, 14, 793

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 923 is 13 x 71

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 14 is 2 x 7

Prime Factorization of 793 is 13 x 61

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(923, 204) = 188292

GCD(923, 204) = ( 923 x 204 ) / 188292

GCD(923, 204) = 188292 / 188292

GCD(923, 204) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 923, 204, 14, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 429, 18, 916
• GCD of 944, 168, 48, 755
• GCD of 860, 446, 28, 486
• GCD of 955, 701, 71, 257
• GCD of 981, 472, 18, 300

1. What is the GCD of 923, 204, 14, 793?

GCD of 923, 204, 14, 793 is 1

2. Where do I get the detailed procedure to find GCD of 923, 204, 14, 793?

You can find a detailed procedure to find GCD of 923, 204, 14, 793 on our page.

3. How to find GCD of 923, 204, 14, 793 on a calculator?

You can find the GCD of 923, 204, 14, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.