GCD of 363, 830, 575, 324 Calculator

Given Input numbers are 363, 830, 575, 324

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 363, 830, 575, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 830, 575, 324 is 1.

Therefore, GCD of numbers 363, 830, 575, 324 is 1

Given Input Data is 363, 830, 575, 324

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 575 is 5 x 5 x 23

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(363, 830) = 301290

GCD(363, 830) = ( 363 x 830 ) / 301290

GCD(363, 830) = 301290 / 301290

GCD(363, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 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 363, 830, 575, 324 is 1

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1. What is the GCD of 363, 830, 575, 324?

GCD of 363, 830, 575, 324 is 1

2. Where do I get the detailed procedure to find GCD of 363, 830, 575, 324?

You can find a detailed procedure to find GCD of 363, 830, 575, 324 on our page.

3. How to find GCD of 363, 830, 575, 324 on a calculator?

You can find the GCD of 363, 830, 575, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.