GCD of 97, 108, 589, 470 Calculator

Given Input numbers are 97, 108, 589, 470

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 97, 108, 589, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 108, 589, 470 is 1.

Therefore, GCD of numbers 97, 108, 589, 470 is 1

Given Input Data is 97, 108, 589, 470

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

Prime Factorization of 97 is 97

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 589 is 19 x 31

Prime Factorization of 470 is 2 x 5 x 47

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(97, 108) = 10476

GCD(97, 108) = ( 97 x 108 ) / 10476

GCD(97, 108) = 10476 / 10476

GCD(97, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 97, 108, 589, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 363, 730, 150
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• GCD of 59, 367, 864, 954
• GCD of 20, 313, 581, 508
• GCD of 68, 589, 381, 184

1. What is the GCD of 97, 108, 589, 470?

GCD of 97, 108, 589, 470 is 1

2. Where do I get the detailed procedure to find GCD of 97, 108, 589, 470?

You can find a detailed procedure to find GCD of 97, 108, 589, 470 on our page.

3. How to find GCD of 97, 108, 589, 470 on a calculator?

You can find the GCD of 97, 108, 589, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.