GCD of 839, 792, 106, 221 Calculator

Given Input numbers are 839, 792, 106, 221

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 839, 792, 106, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 792, 106, 221 is 1.

Therefore, GCD of numbers 839, 792, 106, 221 is 1

Given Input Data is 839, 792, 106, 221

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

Prime Factorization of 839 is 839

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 106 is 2 x 53

Prime Factorization of 221 is 13 x 17

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(839, 792) = 664488

GCD(839, 792) = ( 839 x 792 ) / 664488

GCD(839, 792) = 664488 / 664488

GCD(839, 792) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 839, 792, 106, 221 is 1

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1. What is the GCD of 839, 792, 106, 221?

GCD of 839, 792, 106, 221 is 1

2. Where do I get the detailed procedure to find GCD of 839, 792, 106, 221?

You can find a detailed procedure to find GCD of 839, 792, 106, 221 on our page.

3. How to find GCD of 839, 792, 106, 221 on a calculator?

You can find the GCD of 839, 792, 106, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.