GCD of 589, 682, 115, 562 Calculator

Given Input numbers are 589, 682, 115, 562

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 589, 682, 115, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 682, 115, 562 is 1.

Therefore, GCD of numbers 589, 682, 115, 562 is 1

Given Input Data is 589, 682, 115, 562

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 115 is 5 x 23

Prime Factorization of 562 is 2 x 281

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, 682) = 12958

GCD(589, 682) = ( 589 x 682 ) / 12958

GCD(589, 682) = 401698 / 12958

GCD(589, 682) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 115

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

LCM(31, 115) = 3565

GCD(31, 115) = ( 31 x 115 ) / 3565

GCD(31, 115) = 3565 / 3565

GCD(31, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 589, 682, 115, 562 is 1

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• GCD of 667, 516, 187, 354
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1. What is the GCD of 589, 682, 115, 562?

GCD of 589, 682, 115, 562 is 1

2. Where do I get the detailed procedure to find GCD of 589, 682, 115, 562?

You can find a detailed procedure to find GCD of 589, 682, 115, 562 on our page.

3. How to find GCD of 589, 682, 115, 562 on a calculator?

You can find the GCD of 589, 682, 115, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.