GCD of 589, 141, 306, 296 Calculator

Given Input numbers are 589, 141, 306, 296

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 589, 141, 306, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 141, 306, 296 is 1.

Therefore, GCD of numbers 589, 141, 306, 296 is 1

Given Input Data is 589, 141, 306, 296

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 141 is 3 x 47

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 296 is 2 x 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, 141) = 83049

GCD(589, 141) = ( 589 x 141 ) / 83049

GCD(589, 141) = 83049 / 83049

GCD(589, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 589, 141, 306, 296 is 1

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1. What is the GCD of 589, 141, 306, 296?

GCD of 589, 141, 306, 296 is 1

2. Where do I get the detailed procedure to find GCD of 589, 141, 306, 296?

You can find a detailed procedure to find GCD of 589, 141, 306, 296 on our page.

3. How to find GCD of 589, 141, 306, 296 on a calculator?

You can find the GCD of 589, 141, 306, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.