GCD of 589, 524, 14, 726 Calculator

Given Input numbers are 589, 524, 14, 726

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 14

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

1, 2, 7, 14

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 589, 524, 14, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 524, 14, 726 is 1.

Therefore, GCD of numbers 589, 524, 14, 726 is 1

Given Input Data is 589, 524, 14, 726

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 14 is 2 x 7

Prime Factorization of 726 is 2 x 3 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, 524) = 308636

GCD(589, 524) = ( 589 x 524 ) / 308636

GCD(589, 524) = 308636 / 308636

GCD(589, 524) = 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 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 589, 524, 14, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 392, 30, 266
• GCD of 601, 386, 24, 293
• GCD of 440, 790, 61, 366
• GCD of 916, 283, 32, 582
• GCD of 945, 505, 42, 767

1. What is the GCD of 589, 524, 14, 726?

GCD of 589, 524, 14, 726 is 1

2. Where do I get the detailed procedure to find GCD of 589, 524, 14, 726?

You can find a detailed procedure to find GCD of 589, 524, 14, 726 on our page.

3. How to find GCD of 589, 524, 14, 726 on a calculator?

You can find the GCD of 589, 524, 14, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.