GCD of 336, 234, 27, 704 Calculator

Given Input numbers are 336, 234, 27, 704

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 336, 234, 27, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 234, 27, 704 is 1.

Therefore, GCD of numbers 336, 234, 27, 704 is 1

Given Input Data is 336, 234, 27, 704

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 27 is 3 x 3 x 3

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(336, 234) = 13104

GCD(336, 234) = ( 336 x 234 ) / 13104

GCD(336, 234) = 78624 / 13104

GCD(336, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 27

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

LCM(6, 27) = 54

GCD(6, 27) = ( 6 x 27 ) / 54

GCD(6, 27) = 162 / 54

GCD(6, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 704

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

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

GCD(3, 704) = 2112 / 2112

GCD(3, 704) = 1

GCD of 336, 234, 27, 704 is 1

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1. What is the GCD of 336, 234, 27, 704?

GCD of 336, 234, 27, 704 is 1

2. Where do I get the detailed procedure to find GCD of 336, 234, 27, 704?

You can find a detailed procedure to find GCD of 336, 234, 27, 704 on our page.

3. How to find GCD of 336, 234, 27, 704 on a calculator?

You can find the GCD of 336, 234, 27, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.