GCD of 273, 589, 345 Calculator

Given Input numbers are 273, 589, 345

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 273, 589, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 589, 345 is 1.

Therefore, GCD of numbers 273, 589, 345 is 1

Given Input Data is 273, 589, 345

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 589 is 19 x 31

Prime Factorization of 345 is 3 x 5 x 23

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(273, 589) = 160797

GCD(273, 589) = ( 273 x 589 ) / 160797

GCD(273, 589) = 160797 / 160797

GCD(273, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 273, 589, 345 is 1

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1. What is the GCD of 273, 589, 345?

GCD of 273, 589, 345 is 1

2. Where do I get the detailed procedure to find GCD of 273, 589, 345?

You can find a detailed procedure to find GCD of 273, 589, 345 on our page.

3. How to find GCD of 273, 589, 345 on a calculator?

You can find the GCD of 273, 589, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.