GCD of 306, 243, 464, 704 Calculator

Given Input numbers are 306, 243, 464, 704

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 306, 243, 464, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 243, 464, 704 is 1.

Therefore, GCD of numbers 306, 243, 464, 704 is 1

Given Input Data is 306, 243, 464, 704

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 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(306, 243) = 8262

GCD(306, 243) = ( 306 x 243 ) / 8262

GCD(306, 243) = 74358 / 8262

GCD(306, 243) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 464

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

LCM(9, 464) = 4176

GCD(9, 464) = ( 9 x 464 ) / 4176

GCD(9, 464) = 4176 / 4176

GCD(9, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 306, 243, 464, 704 is 1

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1. What is the GCD of 306, 243, 464, 704?

GCD of 306, 243, 464, 704 is 1

2. Where do I get the detailed procedure to find GCD of 306, 243, 464, 704?

You can find a detailed procedure to find GCD of 306, 243, 464, 704 on our page.

3. How to find GCD of 306, 243, 464, 704 on a calculator?

You can find the GCD of 306, 243, 464, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.