GCD of 589, 872, 24, 148 Calculator

Given Input numbers are 589, 872, 24, 148

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 589, 872, 24, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 872, 24, 148 is 1.

Therefore, GCD of numbers 589, 872, 24, 148 is 1

Given Input Data is 589, 872, 24, 148

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 148 is 2 x 2 x 37

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(589, 872) = 513608

GCD(589, 872) = ( 589 x 872 ) / 513608

GCD(589, 872) = 513608 / 513608

GCD(589, 872) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 589, 872, 24, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 669, 27, 284
• GCD of 919, 816, 48, 353
• GCD of 388, 660, 33, 111
• GCD of 808, 609, 95, 485
• GCD of 149, 876, 70, 606

1. What is the GCD of 589, 872, 24, 148?

GCD of 589, 872, 24, 148 is 1

2. Where do I get the detailed procedure to find GCD of 589, 872, 24, 148?

You can find a detailed procedure to find GCD of 589, 872, 24, 148 on our page.

3. How to find GCD of 589, 872, 24, 148 on a calculator?

You can find the GCD of 589, 872, 24, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.