GCD of 22, 849, 728, 815 Calculator

Given Input numbers are 22, 849, 728, 815

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 22, 849, 728, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 849, 728, 815 is 1.

Therefore, GCD of numbers 22, 849, 728, 815 is 1

Given Input Data is 22, 849, 728, 815

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 849 is 3 x 283

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 815 is 5 x 163

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(22, 849) = 18678

GCD(22, 849) = ( 22 x 849 ) / 18678

GCD(22, 849) = 18678 / 18678

GCD(22, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 22, 849, 728, 815 is 1

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1. What is the GCD of 22, 849, 728, 815?

GCD of 22, 849, 728, 815 is 1

2. Where do I get the detailed procedure to find GCD of 22, 849, 728, 815?

You can find a detailed procedure to find GCD of 22, 849, 728, 815 on our page.

3. How to find GCD of 22, 849, 728, 815 on a calculator?

You can find the GCD of 22, 849, 728, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.