GCD of 646, 522, 33, 360 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 646, 522, 33, 360 i.e. 1 largest integer that divides all the numbers equally.

GCD of 646, 522, 33, 360 is 1

GCD(646, 522, 33, 360) = 1

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

GCD of

GCD of numbers 646, 522, 33, 360 is 1

GCD(646, 522, 33, 360) = 1

GCD of 646,522,33,360 Calculator

GCDof 646,522,33,360 is 1

Given Input numbers are 646, 522, 33, 360

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 646, 522, 33, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 522, 33, 360 is 1.

Therefore, GCD of numbers 646, 522, 33, 360 is 1

Finding GCD of 646, 522, 33, 360 using Prime Factorization

Given Input Data is 646, 522, 33, 360

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 33 is 3 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 646, 522, 33, 360 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(646, 522) = 168606

GCD(646, 522) = ( 646 x 522 ) / 168606

GCD(646, 522) = 337212 / 168606

GCD(646, 522) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 646, 522, 33, 360 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 646, 522, 33, 360

1. What is the GCD of 646, 522, 33, 360?

GCD of 646, 522, 33, 360 is 1


2. Where do I get the detailed procedure to find GCD of 646, 522, 33, 360?

You can find a detailed procedure to find GCD of 646, 522, 33, 360 on our page.


3. How to find GCD of 646, 522, 33, 360 on a calculator?

You can find the GCD of 646, 522, 33, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.