GCD of 984, 323, 51, 123 Calculator

Given Input numbers are 984, 323, 51, 123

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 323

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

1, 17, 19, 323

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 984, 323, 51, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 323, 51, 123 is 1.

Therefore, GCD of numbers 984, 323, 51, 123 is 1

Given Input Data is 984, 323, 51, 123

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 323 is 17 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 123 is 3 x 41

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(984, 323) = 317832

GCD(984, 323) = ( 984 x 323 ) / 317832

GCD(984, 323) = 317832 / 317832

GCD(984, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 984, 323, 51, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 884, 70, 778
• GCD of 886, 305, 75, 480
• GCD of 517, 979, 21, 701
• GCD of 414, 639, 41, 906
• GCD of 375, 994, 70, 121

1. What is the GCD of 984, 323, 51, 123?

GCD of 984, 323, 51, 123 is 1

2. Where do I get the detailed procedure to find GCD of 984, 323, 51, 123?

You can find a detailed procedure to find GCD of 984, 323, 51, 123 on our page.

3. How to find GCD of 984, 323, 51, 123 on a calculator?

You can find the GCD of 984, 323, 51, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.