GCD of 254, 589, 27, 359 Calculator

Given Input numbers are 254, 589, 27, 359

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 589

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

1, 19, 31, 589

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 254, 589, 27, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 589, 27, 359 is 1.

Therefore, GCD of numbers 254, 589, 27, 359 is 1

Given Input Data is 254, 589, 27, 359

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 589 is 19 x 31

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 359 is 359

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(254, 589) = 149606

GCD(254, 589) = ( 254 x 589 ) / 149606

GCD(254, 589) = 149606 / 149606

GCD(254, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 254, 589, 27, 359 is 1

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• GCD of 645, 754, 33, 685
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1. What is the GCD of 254, 589, 27, 359?

GCD of 254, 589, 27, 359 is 1

2. Where do I get the detailed procedure to find GCD of 254, 589, 27, 359?

You can find a detailed procedure to find GCD of 254, 589, 27, 359 on our page.

3. How to find GCD of 254, 589, 27, 359 on a calculator?

You can find the GCD of 254, 589, 27, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.