GCD of 330, 474, 309, 607 Calculator

Given Input numbers are 330, 474, 309, 607

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 330, 474, 309, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 474, 309, 607 is 1.

Therefore, GCD of numbers 330, 474, 309, 607 is 1

Given Input Data is 330, 474, 309, 607

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 474 is 2 x 3 x 79

Prime Factorization of 309 is 3 x 103

Prime Factorization of 607 is 607

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, 474) = 26070

GCD(330, 474) = ( 330 x 474 ) / 26070

GCD(330, 474) = 156420 / 26070

GCD(330, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 309

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

LCM(6, 309) = 618

GCD(6, 309) = ( 6 x 309 ) / 618

GCD(6, 309) = 1854 / 618

GCD(6, 309) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 607

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

LCM(3, 607) = 1821

GCD(3, 607) = ( 3 x 607 ) / 1821

GCD(3, 607) = 1821 / 1821

GCD(3, 607) = 1

GCD of 330, 474, 309, 607 is 1

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1. What is the GCD of 330, 474, 309, 607?

GCD of 330, 474, 309, 607 is 1

2. Where do I get the detailed procedure to find GCD of 330, 474, 309, 607?

You can find a detailed procedure to find GCD of 330, 474, 309, 607 on our page.

3. How to find GCD of 330, 474, 309, 607 on a calculator?

You can find the GCD of 330, 474, 309, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.