GCD of 478, 589, 23, 427 Calculator

Given Input numbers are 478, 589, 23, 427

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 589

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

1, 19, 31, 589

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 478, 589, 23, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 589, 23, 427 is 1.

Therefore, GCD of numbers 478, 589, 23, 427 is 1

Given Input Data is 478, 589, 23, 427

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 589 is 19 x 31

Prime Factorization of 23 is 23

Prime Factorization of 427 is 7 x 61

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(478, 589) = 281542

GCD(478, 589) = ( 478 x 589 ) / 281542

GCD(478, 589) = 281542 / 281542

GCD(478, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 478, 589, 23, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 516, 43, 230
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• GCD of 407, 742, 99, 314

1. What is the GCD of 478, 589, 23, 427?

GCD of 478, 589, 23, 427 is 1

2. Where do I get the detailed procedure to find GCD of 478, 589, 23, 427?

You can find a detailed procedure to find GCD of 478, 589, 23, 427 on our page.

3. How to find GCD of 478, 589, 23, 427 on a calculator?

You can find the GCD of 478, 589, 23, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.