GCD of 582, 470, 174, 689 Calculator

Given Input numbers are 582, 470, 174, 689

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 582, 470, 174, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 470, 174, 689 is 1.

Therefore, GCD of numbers 582, 470, 174, 689 is 1

Given Input Data is 582, 470, 174, 689

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 689 is 13 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(582, 470) = 136770

GCD(582, 470) = ( 582 x 470 ) / 136770

GCD(582, 470) = 273540 / 136770

GCD(582, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 582, 470, 174, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 146, 533, 697
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• GCD of 587, 413, 449, 247

1. What is the GCD of 582, 470, 174, 689?

GCD of 582, 470, 174, 689 is 1

2. Where do I get the detailed procedure to find GCD of 582, 470, 174, 689?

You can find a detailed procedure to find GCD of 582, 470, 174, 689 on our page.

3. How to find GCD of 582, 470, 174, 689 on a calculator?

You can find the GCD of 582, 470, 174, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.