GCD of 30, 330, 613, 292 Calculator

Given Input numbers are 30, 330, 613, 292

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 30, 330, 613, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 330, 613, 292 is 1.

Therefore, GCD of numbers 30, 330, 613, 292 is 1

Given Input Data is 30, 330, 613, 292

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 330 is 2 x 3 x 5 x 11

Prime Factorization of 613 is 613

Prime Factorization of 292 is 2 x 2 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, 330) = 330

GCD(30, 330) = ( 30 x 330 ) / 330

GCD(30, 330) = 9900 / 330

GCD(30, 330) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 613

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

LCM(30, 613) = 18390

GCD(30, 613) = ( 30 x 613 ) / 18390

GCD(30, 613) = 18390 / 18390

GCD(30, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 30, 330, 613, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 361, 510, 647
• GCD of 47, 769, 594, 648
• GCD of 98, 655, 517, 505
• GCD of 20, 856, 912, 244
• GCD of 72, 872, 163, 419

1. What is the GCD of 30, 330, 613, 292?

GCD of 30, 330, 613, 292 is 1

2. Where do I get the detailed procedure to find GCD of 30, 330, 613, 292?

You can find a detailed procedure to find GCD of 30, 330, 613, 292 on our page.

3. How to find GCD of 30, 330, 613, 292 on a calculator?

You can find the GCD of 30, 330, 613, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.