GCD of 827, 338, 82, 322 Calculator

Given Input numbers are 827, 338, 82, 322

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 82

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

1, 2, 41, 82

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 827, 338, 82, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 338, 82, 322 is 1.

Therefore, GCD of numbers 827, 338, 82, 322 is 1

Given Input Data is 827, 338, 82, 322

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

Prime Factorization of 827 is 827

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 82 is 2 x 41

Prime Factorization of 322 is 2 x 7 x 23

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

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(827, 338) = 279526

GCD(827, 338) = ( 827 x 338 ) / 279526

GCD(827, 338) = 279526 / 279526

GCD(827, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 827, 338, 82, 322 is 1

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1. What is the GCD of 827, 338, 82, 322?

GCD of 827, 338, 82, 322 is 1

2. Where do I get the detailed procedure to find GCD of 827, 338, 82, 322?

You can find a detailed procedure to find GCD of 827, 338, 82, 322 on our page.

3. How to find GCD of 827, 338, 82, 322 on a calculator?

You can find the GCD of 827, 338, 82, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.