GCD of 306, 335, 327, 730 Calculator

Given Input numbers are 306, 335, 327, 730

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 306, 335, 327, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 335, 327, 730 is 1.

Therefore, GCD of numbers 306, 335, 327, 730 is 1

Given Input Data is 306, 335, 327, 730

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 335 is 5 x 67

Prime Factorization of 327 is 3 x 109

Prime Factorization of 730 is 2 x 5 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(306, 335) = 102510

GCD(306, 335) = ( 306 x 335 ) / 102510

GCD(306, 335) = 102510 / 102510

GCD(306, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 306, 335, 327, 730 is 1

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1. What is the GCD of 306, 335, 327, 730?

GCD of 306, 335, 327, 730 is 1

2. Where do I get the detailed procedure to find GCD of 306, 335, 327, 730?

You can find a detailed procedure to find GCD of 306, 335, 327, 730 on our page.

3. How to find GCD of 306, 335, 327, 730 on a calculator?

You can find the GCD of 306, 335, 327, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.