GCD of 704, 693, 533, 361 Calculator

Given Input numbers are 704, 693, 533, 361

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 704, 693, 533, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 693, 533, 361 is 1.

Therefore, GCD of numbers 704, 693, 533, 361 is 1

Given Input Data is 704, 693, 533, 361

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 693 is 3 x 3 x 7 x 11

Prime Factorization of 533 is 13 x 41

Prime Factorization of 361 is 19 x 19

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, 693) = 44352

GCD(704, 693) = ( 704 x 693 ) / 44352

GCD(704, 693) = 487872 / 44352

GCD(704, 693) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 533

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

LCM(11, 533) = 5863

GCD(11, 533) = ( 11 x 533 ) / 5863

GCD(11, 533) = 5863 / 5863

GCD(11, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 704, 693, 533, 361 is 1

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1. What is the GCD of 704, 693, 533, 361?

GCD of 704, 693, 533, 361 is 1

2. Where do I get the detailed procedure to find GCD of 704, 693, 533, 361?

You can find a detailed procedure to find GCD of 704, 693, 533, 361 on our page.

3. How to find GCD of 704, 693, 533, 361 on a calculator?

You can find the GCD of 704, 693, 533, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.