GCD of 171, 702, 295, 593 Calculator

Given Input numbers are 171, 702, 295, 593

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Greatest Common Divisior

We found the divisors of 171, 702, 295, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 702, 295, 593 is 1.

Therefore, GCD of numbers 171, 702, 295, 593 is 1

Given Input Data is 171, 702, 295, 593

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 295 is 5 x 59

Prime Factorization of 593 is 593

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(171, 702) = 13338

GCD(171, 702) = ( 171 x 702 ) / 13338

GCD(171, 702) = 120042 / 13338

GCD(171, 702) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 295

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

LCM(9, 295) = 2655

GCD(9, 295) = ( 9 x 295 ) / 2655

GCD(9, 295) = 2655 / 2655

GCD(9, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 593

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

LCM(1, 593) = 593

GCD(1, 593) = ( 1 x 593 ) / 593

GCD(1, 593) = 593 / 593

GCD(1, 593) = 1

GCD of 171, 702, 295, 593 is 1

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1. What is the GCD of 171, 702, 295, 593?

GCD of 171, 702, 295, 593 is 1

2. Where do I get the detailed procedure to find GCD of 171, 702, 295, 593?

You can find a detailed procedure to find GCD of 171, 702, 295, 593 on our page.

3. How to find GCD of 171, 702, 295, 593 on a calculator?

You can find the GCD of 171, 702, 295, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.