GCD of 589, 735, 12, 795 Calculator

Given Input numbers are 589, 735, 12, 795

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 589, 735, 12, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 735, 12, 795 is 1.

Therefore, GCD of numbers 589, 735, 12, 795 is 1

Given Input Data is 589, 735, 12, 795

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 795 is 3 x 5 x 53

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, 735) = 432915

GCD(589, 735) = ( 589 x 735 ) / 432915

GCD(589, 735) = 432915 / 432915

GCD(589, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 589, 735, 12, 795 is 1

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• GCD of 549, 704, 20, 947

1. What is the GCD of 589, 735, 12, 795?

GCD of 589, 735, 12, 795 is 1

2. Where do I get the detailed procedure to find GCD of 589, 735, 12, 795?

You can find a detailed procedure to find GCD of 589, 735, 12, 795 on our page.

3. How to find GCD of 589, 735, 12, 795 on a calculator?

You can find the GCD of 589, 735, 12, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.