GCD of 323, 678, 36, 645 Calculator

Given Input numbers are 323, 678, 36, 645

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 323, 678, 36, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 678, 36, 645 is 1.

Therefore, GCD of numbers 323, 678, 36, 645 is 1

Given Input Data is 323, 678, 36, 645

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 645 is 3 x 5 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(323, 678) = 218994

GCD(323, 678) = ( 323 x 678 ) / 218994

GCD(323, 678) = 218994 / 218994

GCD(323, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 323, 678, 36, 645 is 1

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• GCD of 160, 650, 13, 923
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• GCD of 399, 481, 27, 231

1. What is the GCD of 323, 678, 36, 645?

GCD of 323, 678, 36, 645 is 1

2. Where do I get the detailed procedure to find GCD of 323, 678, 36, 645?

You can find a detailed procedure to find GCD of 323, 678, 36, 645 on our page.

3. How to find GCD of 323, 678, 36, 645 on a calculator?

You can find the GCD of 323, 678, 36, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.