GCD of 42, 107, 186, 589 Calculator

Given Input numbers are 42, 107, 186, 589

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 42, 107, 186, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 107, 186, 589 is 1.

Therefore, GCD of numbers 42, 107, 186, 589 is 1

Given Input Data is 42, 107, 186, 589

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 107 is 107

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 589 is 19 x 31

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(42, 107) = 4494

GCD(42, 107) = ( 42 x 107 ) / 4494

GCD(42, 107) = 4494 / 4494

GCD(42, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 42, 107, 186, 589 is 1

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• GCD of 48, 564, 585, 656
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• GCD of 26, 101, 633, 794

1. What is the GCD of 42, 107, 186, 589?

GCD of 42, 107, 186, 589 is 1

2. Where do I get the detailed procedure to find GCD of 42, 107, 186, 589?

You can find a detailed procedure to find GCD of 42, 107, 186, 589 on our page.

3. How to find GCD of 42, 107, 186, 589 on a calculator?

You can find the GCD of 42, 107, 186, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.