GCD of 345, 594, 167, 326 Calculator

Given Input numbers are 345, 594, 167, 326

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 345, 594, 167, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 594, 167, 326 is 1.

Therefore, GCD of numbers 345, 594, 167, 326 is 1

Given Input Data is 345, 594, 167, 326

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 167 is 167

Prime Factorization of 326 is 2 x 163

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(345, 594) = 68310

GCD(345, 594) = ( 345 x 594 ) / 68310

GCD(345, 594) = 204930 / 68310

GCD(345, 594) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 167

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

LCM(3, 167) = 501

GCD(3, 167) = ( 3 x 167 ) / 501

GCD(3, 167) = 501 / 501

GCD(3, 167) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

GCD of 345, 594, 167, 326 is 1

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1. What is the GCD of 345, 594, 167, 326?

GCD of 345, 594, 167, 326 is 1

2. Where do I get the detailed procedure to find GCD of 345, 594, 167, 326?

You can find a detailed procedure to find GCD of 345, 594, 167, 326 on our page.

3. How to find GCD of 345, 594, 167, 326 on a calculator?

You can find the GCD of 345, 594, 167, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.