GCD of 92, 184, 100, 323 Calculator

Given Input numbers are 92, 184, 100, 323

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 92, 184, 100, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 184, 100, 323 is 1.

Therefore, GCD of numbers 92, 184, 100, 323 is 1

Given Input Data is 92, 184, 100, 323

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 323 is 17 x 19

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(92, 184) = 184

GCD(92, 184) = ( 92 x 184 ) / 184

GCD(92, 184) = 16928 / 184

GCD(92, 184) = 92

Step2:

Here we consider the GCD from the above i.e. 92 as first number and the next as 100

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

LCM(92, 100) = 2300

GCD(92, 100) = ( 92 x 100 ) / 2300

GCD(92, 100) = 9200 / 2300

GCD(92, 100) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 323

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

LCM(4, 323) = 1292

GCD(4, 323) = ( 4 x 323 ) / 1292

GCD(4, 323) = 1292 / 1292

GCD(4, 323) = 1

GCD of 92, 184, 100, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 368, 624, 819
• GCD of 24, 436, 361, 325
• GCD of 72, 476, 840, 926
• GCD of 11, 766, 536, 401
• GCD of 17, 758, 627, 584

1. What is the GCD of 92, 184, 100, 323?

GCD of 92, 184, 100, 323 is 1

2. Where do I get the detailed procedure to find GCD of 92, 184, 100, 323?

You can find a detailed procedure to find GCD of 92, 184, 100, 323 on our page.

3. How to find GCD of 92, 184, 100, 323 on a calculator?

You can find the GCD of 92, 184, 100, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.