GCD of 605, 589, 660, 172 Calculator

Given Input numbers are 605, 589, 660, 172

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 589

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

1, 19, 31, 589

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 605, 589, 660, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 589, 660, 172 is 1.

Therefore, GCD of numbers 605, 589, 660, 172 is 1

Given Input Data is 605, 589, 660, 172

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 589 is 19 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 172 is 2 x 2 x 43

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(605, 589) = 356345

GCD(605, 589) = ( 605 x 589 ) / 356345

GCD(605, 589) = 356345 / 356345

GCD(605, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 605, 589, 660, 172 is 1

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1. What is the GCD of 605, 589, 660, 172?

GCD of 605, 589, 660, 172 is 1

2. Where do I get the detailed procedure to find GCD of 605, 589, 660, 172?

You can find a detailed procedure to find GCD of 605, 589, 660, 172 on our page.

3. How to find GCD of 605, 589, 660, 172 on a calculator?

You can find the GCD of 605, 589, 660, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.