GCD of 522, 722, 81 Calculator

Given Input numbers are 522, 722, 81

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Greatest Common Divisior

We found the divisors of 522, 722, 81 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 722, 81 is 1.

Therefore, GCD of numbers 522, 722, 81 is 1

Given Input Data is 522, 722, 81

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 81 is 3 x 3 x 3 x 3

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(522, 722) = 188442

GCD(522, 722) = ( 522 x 722 ) / 188442

GCD(522, 722) = 376884 / 188442

GCD(522, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

GCD of 522, 722, 81 is 1

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1. What is the GCD of 522, 722, 81?

GCD of 522, 722, 81 is 1

2. Where do I get the detailed procedure to find GCD of 522, 722, 81?

You can find a detailed procedure to find GCD of 522, 722, 81 on our page.

3. How to find GCD of 522, 722, 81 on a calculator?

You can find the GCD of 522, 722, 81 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.