GCD of 682, 904, 82, 267 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 682, 904, 82, 267 i.e. 1 largest integer that divides all the numbers equally.

GCD of 682, 904, 82, 267 is 1

GCD(682, 904, 82, 267) = 1

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

GCD of

GCD of numbers 682, 904, 82, 267 is 1

GCD(682, 904, 82, 267) = 1

GCD of 682,904,82,267 Calculator

GCDof 682,904,82,267 is 1

Given Input numbers are 682, 904, 82, 267

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 682, 904, 82, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 904, 82, 267 is 1.

Therefore, GCD of numbers 682, 904, 82, 267 is 1

Finding GCD of 682, 904, 82, 267 using Prime Factorization

Given Input Data is 682, 904, 82, 267

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 82 is 2 x 41

Prime Factorization of 267 is 3 x 89

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

Finding GCD of 682, 904, 82, 267 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(682, 904) = 308264

GCD(682, 904) = ( 682 x 904 ) / 308264

GCD(682, 904) = 616528 / 308264

GCD(682, 904) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

GCD of 682, 904, 82, 267 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 682, 904, 82, 267

1. What is the GCD of 682, 904, 82, 267?

GCD of 682, 904, 82, 267 is 1


2. Where do I get the detailed procedure to find GCD of 682, 904, 82, 267?

You can find a detailed procedure to find GCD of 682, 904, 82, 267 on our page.


3. How to find GCD of 682, 904, 82, 267 on a calculator?

You can find the GCD of 682, 904, 82, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.