GCD of 105, 323, 793, 284 Calculator

Given Input numbers are 105, 323, 793, 284

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 323

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

1, 17, 19, 323

Divisors of 793

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

1, 13, 61, 793

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 105, 323, 793, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 323, 793, 284 is 1.

Therefore, GCD of numbers 105, 323, 793, 284 is 1

Given Input Data is 105, 323, 793, 284

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 323 is 17 x 19

Prime Factorization of 793 is 13 x 61

Prime Factorization of 284 is 2 x 2 x 71

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(105, 323) = 33915

GCD(105, 323) = ( 105 x 323 ) / 33915

GCD(105, 323) = 33915 / 33915

GCD(105, 323) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 105, 323, 793, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 657, 364, 455
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• GCD of 414, 881, 732, 968

1. What is the GCD of 105, 323, 793, 284?

GCD of 105, 323, 793, 284 is 1

2. Where do I get the detailed procedure to find GCD of 105, 323, 793, 284?

You can find a detailed procedure to find GCD of 105, 323, 793, 284 on our page.

3. How to find GCD of 105, 323, 793, 284 on a calculator?

You can find the GCD of 105, 323, 793, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.