GCD of 589, 165, 371, 242 Calculator

Given Input numbers are 589, 165, 371, 242

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 589, 165, 371, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 165, 371, 242 is 1.

Therefore, GCD of numbers 589, 165, 371, 242 is 1

Given Input Data is 589, 165, 371, 242

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 371 is 7 x 53

Prime Factorization of 242 is 2 x 11 x 11

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, 165) = 97185

GCD(589, 165) = ( 589 x 165 ) / 97185

GCD(589, 165) = 97185 / 97185

GCD(589, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 589, 165, 371, 242 is 1

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1. What is the GCD of 589, 165, 371, 242?

GCD of 589, 165, 371, 242 is 1

2. Where do I get the detailed procedure to find GCD of 589, 165, 371, 242?

You can find a detailed procedure to find GCD of 589, 165, 371, 242 on our page.

3. How to find GCD of 589, 165, 371, 242 on a calculator?

You can find the GCD of 589, 165, 371, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.