GCD of 690, 935, 72, 405 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 690, 935, 72, 405 i.e. 1 largest integer that divides all the numbers equally.

GCD of 690, 935, 72, 405 is 1

GCD(690, 935, 72, 405) = 1

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

GCD of

GCD of numbers 690, 935, 72, 405 is 1

GCD(690, 935, 72, 405) = 1

GCD of 690,935,72,405 Calculator

GCDof 690,935,72,405 is 1

Given Input numbers are 690, 935, 72, 405

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 690, 935, 72, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 935, 72, 405 is 1.

Therefore, GCD of numbers 690, 935, 72, 405 is 1

Finding GCD of 690, 935, 72, 405 using Prime Factorization

Given Input Data is 690, 935, 72, 405

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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

Finding GCD of 690, 935, 72, 405 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(690, 935) = 129030

GCD(690, 935) = ( 690 x 935 ) / 129030

GCD(690, 935) = 645150 / 129030

GCD(690, 935) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

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

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 690, 935, 72, 405 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 690, 935, 72, 405

1. What is the GCD of 690, 935, 72, 405?

GCD of 690, 935, 72, 405 is 1


2. Where do I get the detailed procedure to find GCD of 690, 935, 72, 405?

You can find a detailed procedure to find GCD of 690, 935, 72, 405 on our page.


3. How to find GCD of 690, 935, 72, 405 on a calculator?

You can find the GCD of 690, 935, 72, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.