GCD of 330, 789, 88, 830 Calculator

Given Input numbers are 330, 789, 88, 830

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

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 830

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

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

Greatest Common Divisior

We found the divisors of 330, 789, 88, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 789, 88, 830 is 1.

Therefore, GCD of numbers 330, 789, 88, 830 is 1

Given Input Data is 330, 789, 88, 830

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 789 is 3 x 263

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 830 is 2 x 5 x 83

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(330, 789) = 86790

GCD(330, 789) = ( 330 x 789 ) / 86790

GCD(330, 789) = 260370 / 86790

GCD(330, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 88

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

LCM(3, 88) = 264

GCD(3, 88) = ( 3 x 88 ) / 264

GCD(3, 88) = 264 / 264

GCD(3, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 330, 789, 88, 830 is 1

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1. What is the GCD of 330, 789, 88, 830?

GCD of 330, 789, 88, 830 is 1

2. Where do I get the detailed procedure to find GCD of 330, 789, 88, 830?

You can find a detailed procedure to find GCD of 330, 789, 88, 830 on our page.

3. How to find GCD of 330, 789, 88, 830 on a calculator?

You can find the GCD of 330, 789, 88, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.