GCD of 589, 132, 42, 827 Calculator

Given Input numbers are 589, 132, 42, 827

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 589, 132, 42, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 132, 42, 827 is 1.

Therefore, GCD of numbers 589, 132, 42, 827 is 1

Given Input Data is 589, 132, 42, 827

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 827 is 827

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, 132) = 77748

GCD(589, 132) = ( 589 x 132 ) / 77748

GCD(589, 132) = 77748 / 77748

GCD(589, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 589, 132, 42, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 254, 36, 446
• GCD of 522, 847, 71, 854
• GCD of 588, 431, 32, 613
• GCD of 733, 730, 44, 230
• GCD of 854, 590, 90, 280

1. What is the GCD of 589, 132, 42, 827?

GCD of 589, 132, 42, 827 is 1

2. Where do I get the detailed procedure to find GCD of 589, 132, 42, 827?

You can find a detailed procedure to find GCD of 589, 132, 42, 827 on our page.

3. How to find GCD of 589, 132, 42, 827 on a calculator?

You can find the GCD of 589, 132, 42, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.