GCD of 159, 456, 873, 289 Calculator

Given Input numbers are 159, 456, 873, 289

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

Divisors of 159

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

1, 3, 53, 159

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 159, 456, 873, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 456, 873, 289 is 1.

Therefore, GCD of numbers 159, 456, 873, 289 is 1

Given Input Data is 159, 456, 873, 289

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 289 is 17 x 17

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(159, 456) = 24168

GCD(159, 456) = ( 159 x 456 ) / 24168

GCD(159, 456) = 72504 / 24168

GCD(159, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 873

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

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

GCD(3, 873) = 2619 / 873

GCD(3, 873) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 289

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

LCM(3, 289) = 867

GCD(3, 289) = ( 3 x 289 ) / 867

GCD(3, 289) = 867 / 867

GCD(3, 289) = 1

GCD of 159, 456, 873, 289 is 1

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1. What is the GCD of 159, 456, 873, 289?

GCD of 159, 456, 873, 289 is 1

2. Where do I get the detailed procedure to find GCD of 159, 456, 873, 289?

You can find a detailed procedure to find GCD of 159, 456, 873, 289 on our page.

3. How to find GCD of 159, 456, 873, 289 on a calculator?

You can find the GCD of 159, 456, 873, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.