GCD of 589, 882, 72, 686 Calculator

Given Input numbers are 589, 882, 72, 686

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 589, 882, 72, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 882, 72, 686 is 1.

Therefore, GCD of numbers 589, 882, 72, 686 is 1

Given Input Data is 589, 882, 72, 686

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 686 is 2 x 7 x 7 x 7

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, 882) = 519498

GCD(589, 882) = ( 589 x 882 ) / 519498

GCD(589, 882) = 519498 / 519498

GCD(589, 882) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 589, 882, 72, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 177, 83, 964
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• GCD of 778, 439, 11, 407
• GCD of 322, 252, 25, 201
• GCD of 460, 192, 72, 119

1. What is the GCD of 589, 882, 72, 686?

GCD of 589, 882, 72, 686 is 1

2. Where do I get the detailed procedure to find GCD of 589, 882, 72, 686?

You can find a detailed procedure to find GCD of 589, 882, 72, 686 on our page.

3. How to find GCD of 589, 882, 72, 686 on a calculator?

You can find the GCD of 589, 882, 72, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.