GCD of 30, 323, 578, 730 Calculator

Given Input numbers are 30, 323, 578, 730

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 323

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

1, 17, 19, 323

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 730

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

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

Greatest Common Divisior

We found the divisors of 30, 323, 578, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 323, 578, 730 is 1.

Therefore, GCD of numbers 30, 323, 578, 730 is 1

Given Input Data is 30, 323, 578, 730

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 323 is 17 x 19

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 730 is 2 x 5 x 73

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(30, 323) = 9690

GCD(30, 323) = ( 30 x 323 ) / 9690

GCD(30, 323) = 9690 / 9690

GCD(30, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 30, 323, 578, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 811, 268, 676
• GCD of 16, 548, 855, 327
• GCD of 92, 786, 665, 836
• GCD of 75, 546, 409, 782
• GCD of 28, 720, 949, 498

1. What is the GCD of 30, 323, 578, 730?

GCD of 30, 323, 578, 730 is 1

2. Where do I get the detailed procedure to find GCD of 30, 323, 578, 730?

You can find a detailed procedure to find GCD of 30, 323, 578, 730 on our page.

3. How to find GCD of 30, 323, 578, 730 on a calculator?

You can find the GCD of 30, 323, 578, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.