GCD of 330, 783, 170, 924 Calculator

Given Input numbers are 330, 783, 170, 924

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 330, 783, 170, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 783, 170, 924 is 1.

Therefore, GCD of numbers 330, 783, 170, 924 is 1

Given Input Data is 330, 783, 170, 924

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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, 783) = 86130

GCD(330, 783) = ( 330 x 783 ) / 86130

GCD(330, 783) = 258390 / 86130

GCD(330, 783) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 330, 783, 170, 924 is 1

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1. What is the GCD of 330, 783, 170, 924?

GCD of 330, 783, 170, 924 is 1

2. Where do I get the detailed procedure to find GCD of 330, 783, 170, 924?

You can find a detailed procedure to find GCD of 330, 783, 170, 924 on our page.

3. How to find GCD of 330, 783, 170, 924 on a calculator?

You can find the GCD of 330, 783, 170, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.