GCD of 589, 617, 14, 645 Calculator

Given Input numbers are 589, 617, 14, 645

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 589, 617, 14, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 617, 14, 645 is 1.

Therefore, GCD of numbers 589, 617, 14, 645 is 1

Given Input Data is 589, 617, 14, 645

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 617 is 617

Prime Factorization of 14 is 2 x 7

Prime Factorization of 645 is 3 x 5 x 43

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, 617) = 363413

GCD(589, 617) = ( 589 x 617 ) / 363413

GCD(589, 617) = 363413 / 363413

GCD(589, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 589, 617, 14, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 108, 56, 560
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• GCD of 923, 639, 34, 416
• GCD of 689, 166, 91, 728
• GCD of 965, 339, 48, 850

1. What is the GCD of 589, 617, 14, 645?

GCD of 589, 617, 14, 645 is 1

2. Where do I get the detailed procedure to find GCD of 589, 617, 14, 645?

You can find a detailed procedure to find GCD of 589, 617, 14, 645 on our page.

3. How to find GCD of 589, 617, 14, 645 on a calculator?

You can find the GCD of 589, 617, 14, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.