GCD of 82, 708, 267, 940 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 82, 708, 267, 940 i.e. 1 largest integer that divides all the numbers equally.

GCD of 82, 708, 267, 940 is 1

GCD(82, 708, 267, 940) = 1

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

GCD of

GCD of numbers 82, 708, 267, 940 is 1

GCD(82, 708, 267, 940) = 1

GCD of 82,708,267,940 Calculator

GCDof 82,708,267,940 is 1

Given Input numbers are 82, 708, 267, 940

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

Divisors of 82

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

1, 2, 41, 82

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 267

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

1, 3, 89, 267

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 82, 708, 267, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 708, 267, 940 is 1.

Therefore, GCD of numbers 82, 708, 267, 940 is 1

Finding GCD of 82, 708, 267, 940 using Prime Factorization

Given Input Data is 82, 708, 267, 940

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 267 is 3 x 89

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

Finding GCD of 82, 708, 267, 940 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(82, 708) = 29028

GCD(82, 708) = ( 82 x 708 ) / 29028

GCD(82, 708) = 58056 / 29028

GCD(82, 708) = 2


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 82, 708, 267, 940 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 82, 708, 267, 940

1. What is the GCD of 82, 708, 267, 940?

GCD of 82, 708, 267, 940 is 1


2. Where do I get the detailed procedure to find GCD of 82, 708, 267, 940?

You can find a detailed procedure to find GCD of 82, 708, 267, 940 on our page.


3. How to find GCD of 82, 708, 267, 940 on a calculator?

You can find the GCD of 82, 708, 267, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.