GCD of 330, 319, 358, 340 Calculator

Given Input numbers are 330, 319, 358, 340

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 330, 319, 358, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 319, 358, 340 is 1.

Therefore, GCD of numbers 330, 319, 358, 340 is 1

Given Input Data is 330, 319, 358, 340

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 319 is 11 x 29

Prime Factorization of 358 is 2 x 179

Prime Factorization of 340 is 2 x 2 x 5 x 17

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, 319) = 9570

GCD(330, 319) = ( 330 x 319 ) / 9570

GCD(330, 319) = 105270 / 9570

GCD(330, 319) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 358

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

LCM(11, 358) = 3938

GCD(11, 358) = ( 11 x 358 ) / 3938

GCD(11, 358) = 3938 / 3938

GCD(11, 358) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 330, 319, 358, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 126, 316, 817
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• GCD of 531, 344, 437, 749

1. What is the GCD of 330, 319, 358, 340?

GCD of 330, 319, 358, 340 is 1

2. Where do I get the detailed procedure to find GCD of 330, 319, 358, 340?

You can find a detailed procedure to find GCD of 330, 319, 358, 340 on our page.

3. How to find GCD of 330, 319, 358, 340 on a calculator?

You can find the GCD of 330, 319, 358, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.