GCD of 664, 681, 16, 369 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 664, 681, 16, 369 i.e. 1 largest integer that divides all the numbers equally.

GCD of 664, 681, 16, 369 is 1

GCD(664, 681, 16, 369) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 664, 681, 16, 369 is 1

GCD(664, 681, 16, 369) = 1

GCD of 664,681,16,369 Calculator

GCDof 664,681,16,369 is 1

Given Input numbers are 664, 681, 16, 369

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 664, 681, 16, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 681, 16, 369 is 1.

Therefore, GCD of numbers 664, 681, 16, 369 is 1

Finding GCD of 664, 681, 16, 369 using Prime Factorization

Given Input Data is 664, 681, 16, 369

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 681 is 3 x 227

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 369 is 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 664, 681, 16, 369 using LCM Formula

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(664, 681) = 452184

GCD(664, 681) = ( 664 x 681 ) / 452184

GCD(664, 681) = 452184 / 452184

GCD(664, 681) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 664, 681, 16, 369 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 664, 681, 16, 369

1. What is the GCD of 664, 681, 16, 369?

GCD of 664, 681, 16, 369 is 1


2. Where do I get the detailed procedure to find GCD of 664, 681, 16, 369?

You can find a detailed procedure to find GCD of 664, 681, 16, 369 on our page.


3. How to find GCD of 664, 681, 16, 369 on a calculator?

You can find the GCD of 664, 681, 16, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.