GCD of 589, 240, 54, 331 Calculator

Given Input numbers are 589, 240, 54, 331

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 589, 240, 54, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 240, 54, 331 is 1.

Therefore, GCD of numbers 589, 240, 54, 331 is 1

Given Input Data is 589, 240, 54, 331

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 331 is 331

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, 240) = 141360

GCD(589, 240) = ( 589 x 240 ) / 141360

GCD(589, 240) = 141360 / 141360

GCD(589, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 589, 240, 54, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 778, 14, 740
• GCD of 338, 500, 86, 480
• GCD of 660, 478, 73, 577
• GCD of 544, 254, 29, 960
• GCD of 772, 800, 63, 567

1. What is the GCD of 589, 240, 54, 331?

GCD of 589, 240, 54, 331 is 1

2. Where do I get the detailed procedure to find GCD of 589, 240, 54, 331?

You can find a detailed procedure to find GCD of 589, 240, 54, 331 on our page.

3. How to find GCD of 589, 240, 54, 331 on a calculator?

You can find the GCD of 589, 240, 54, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.