GCD of 321, 694, 187, 704 Calculator

Given Input numbers are 321, 694, 187, 704

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

Divisors of 321

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

1, 3, 107, 321

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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 321, 694, 187, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 694, 187, 704 is 1.

Therefore, GCD of numbers 321, 694, 187, 704 is 1

Given Input Data is 321, 694, 187, 704

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 694 is 2 x 347

Prime Factorization of 187 is 11 x 17

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(321, 694) = 222774

GCD(321, 694) = ( 321 x 694 ) / 222774

GCD(321, 694) = 222774 / 222774

GCD(321, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 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 321, 694, 187, 704 is 1

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1. What is the GCD of 321, 694, 187, 704?

GCD of 321, 694, 187, 704 is 1

2. Where do I get the detailed procedure to find GCD of 321, 694, 187, 704?

You can find a detailed procedure to find GCD of 321, 694, 187, 704 on our page.

3. How to find GCD of 321, 694, 187, 704 on a calculator?

You can find the GCD of 321, 694, 187, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.