GCD of 489, 365, 159, 923 Calculator

Given Input numbers are 489, 365, 159, 923

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 923

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

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 489, 365, 159, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 365, 159, 923 is 1.

Therefore, GCD of numbers 489, 365, 159, 923 is 1

Given Input Data is 489, 365, 159, 923

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 365 is 5 x 73

Prime Factorization of 159 is 3 x 53

Prime Factorization of 923 is 13 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(489, 365) = 178485

GCD(489, 365) = ( 489 x 365 ) / 178485

GCD(489, 365) = 178485 / 178485

GCD(489, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 489, 365, 159, 923 is 1

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1. What is the GCD of 489, 365, 159, 923?

GCD of 489, 365, 159, 923 is 1

2. Where do I get the detailed procedure to find GCD of 489, 365, 159, 923?

You can find a detailed procedure to find GCD of 489, 365, 159, 923 on our page.

3. How to find GCD of 489, 365, 159, 923 on a calculator?

You can find the GCD of 489, 365, 159, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.