GCD of 704, 306, 96, 321 Calculator

Given Input numbers are 704, 306, 96, 321

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

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

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 704, 306, 96, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 306, 96, 321 is 1.

Therefore, GCD of numbers 704, 306, 96, 321 is 1

Given Input Data is 704, 306, 96, 321

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 321 is 3 x 107

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(704, 306) = 107712

GCD(704, 306) = ( 704 x 306 ) / 107712

GCD(704, 306) = 215424 / 107712

GCD(704, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 704, 306, 96, 321 is 1

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• GCD of 691, 678, 61, 444
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1. What is the GCD of 704, 306, 96, 321?

GCD of 704, 306, 96, 321 is 1

2. Where do I get the detailed procedure to find GCD of 704, 306, 96, 321?

You can find a detailed procedure to find GCD of 704, 306, 96, 321 on our page.

3. How to find GCD of 704, 306, 96, 321 on a calculator?

You can find the GCD of 704, 306, 96, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.