GCD of 730, 423, 363, 364 Calculator

Given Input numbers are 730, 423, 363, 364

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 363

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

1, 3, 11, 33, 121, 363

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 730, 423, 363, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 423, 363, 364 is 1.

Therefore, GCD of numbers 730, 423, 363, 364 is 1

Given Input Data is 730, 423, 363, 364

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(730, 423) = 308790

GCD(730, 423) = ( 730 x 423 ) / 308790

GCD(730, 423) = 308790 / 308790

GCD(730, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 730, 423, 363, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 188, 520, 251
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• GCD of 540, 797, 711, 255
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• GCD of 130, 980, 692, 952

1. What is the GCD of 730, 423, 363, 364?

GCD of 730, 423, 363, 364 is 1

2. Where do I get the detailed procedure to find GCD of 730, 423, 363, 364?

You can find a detailed procedure to find GCD of 730, 423, 363, 364 on our page.

3. How to find GCD of 730, 423, 363, 364 on a calculator?

You can find the GCD of 730, 423, 363, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.