GCD of 87, 393, 732, 269 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 87, 393, 732, 269 i.e. 1 largest integer that divides all the numbers equally.

GCD of 87, 393, 732, 269 is 1

GCD(87, 393, 732, 269) = 1

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

GCD of

GCD of numbers 87, 393, 732, 269 is 1

GCD(87, 393, 732, 269) = 1

GCD of 87,393,732,269 Calculator

GCDof 87,393,732,269 is 1

Given Input numbers are 87, 393, 732, 269

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 87, 393, 732, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 393, 732, 269 is 1.

Therefore, GCD of numbers 87, 393, 732, 269 is 1

Finding GCD of 87, 393, 732, 269 using Prime Factorization

Given Input Data is 87, 393, 732, 269

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 393 is 3 x 131

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 269 is 269

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

Finding GCD of 87, 393, 732, 269 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(87, 393) = 11397

GCD(87, 393) = ( 87 x 393 ) / 11397

GCD(87, 393) = 34191 / 11397

GCD(87, 393) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 269

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

LCM(3, 269) = 807

GCD(3, 269) = ( 3 x 269 ) / 807

GCD(3, 269) = 807 / 807

GCD(3, 269) = 1

GCD of 87, 393, 732, 269 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 87, 393, 732, 269

1. What is the GCD of 87, 393, 732, 269?

GCD of 87, 393, 732, 269 is 1


2. Where do I get the detailed procedure to find GCD of 87, 393, 732, 269?

You can find a detailed procedure to find GCD of 87, 393, 732, 269 on our page.


3. How to find GCD of 87, 393, 732, 269 on a calculator?

You can find the GCD of 87, 393, 732, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.