GCD of 522, 221, 81, 695 Calculator

Given Input numbers are 522, 221, 81, 695

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 221

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

1, 13, 17, 221

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 522, 221, 81, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 221, 81, 695 is 1.

Therefore, GCD of numbers 522, 221, 81, 695 is 1

Given Input Data is 522, 221, 81, 695

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 221 is 13 x 17

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

Prime Factorization of 695 is 5 x 139

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, 221) = 115362

GCD(522, 221) = ( 522 x 221 ) / 115362

GCD(522, 221) = 115362 / 115362

GCD(522, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 522, 221, 81, 695 is 1

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1. What is the GCD of 522, 221, 81, 695?

GCD of 522, 221, 81, 695 is 1

2. Where do I get the detailed procedure to find GCD of 522, 221, 81, 695?

You can find a detailed procedure to find GCD of 522, 221, 81, 695 on our page.

3. How to find GCD of 522, 221, 81, 695 on a calculator?

You can find the GCD of 522, 221, 81, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.