GCD of 660, 535, 104, 249 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 660, 535, 104, 249 i.e. 1 largest integer that divides all the numbers equally.

GCD of 660, 535, 104, 249 is 1

GCD(660, 535, 104, 249) = 1

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

GCD of

GCD of numbers 660, 535, 104, 249 is 1

GCD(660, 535, 104, 249) = 1

GCD of 660,535,104,249 Calculator

GCDof 660,535,104,249 is 1

Given Input numbers are 660, 535, 104, 249

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 660, 535, 104, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 535, 104, 249 is 1.

Therefore, GCD of numbers 660, 535, 104, 249 is 1

Finding GCD of 660, 535, 104, 249 using Prime Factorization

Given Input Data is 660, 535, 104, 249

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 535 is 5 x 107

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 249 is 3 x 83

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

Finding GCD of 660, 535, 104, 249 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(660, 535) = 70620

GCD(660, 535) = ( 660 x 535 ) / 70620

GCD(660, 535) = 353100 / 70620

GCD(660, 535) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 104

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

LCM(5, 104) = 520

GCD(5, 104) = ( 5 x 104 ) / 520

GCD(5, 104) = 520 / 520

GCD(5, 104) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 660, 535, 104, 249 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 660, 535, 104, 249

1. What is the GCD of 660, 535, 104, 249?

GCD of 660, 535, 104, 249 is 1


2. Where do I get the detailed procedure to find GCD of 660, 535, 104, 249?

You can find a detailed procedure to find GCD of 660, 535, 104, 249 on our page.


3. How to find GCD of 660, 535, 104, 249 on a calculator?

You can find the GCD of 660, 535, 104, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.