GCD of 309, 173, 51, 324 Calculator

Given Input numbers are 309, 173, 51, 324

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 309, 173, 51, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 173, 51, 324 is 1.

Therefore, GCD of numbers 309, 173, 51, 324 is 1

Given Input Data is 309, 173, 51, 324

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 173 is 173

Prime Factorization of 51 is 3 x 17

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(309, 173) = 53457

GCD(309, 173) = ( 309 x 173 ) / 53457

GCD(309, 173) = 53457 / 53457

GCD(309, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 309, 173, 51, 324 is 1

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• GCD of 778, 195, 61, 910
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1. What is the GCD of 309, 173, 51, 324?

GCD of 309, 173, 51, 324 is 1

2. Where do I get the detailed procedure to find GCD of 309, 173, 51, 324?

You can find a detailed procedure to find GCD of 309, 173, 51, 324 on our page.

3. How to find GCD of 309, 173, 51, 324 on a calculator?

You can find the GCD of 309, 173, 51, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.