GCD of 81, 261, 577, 422 Calculator

Given Input numbers are 81, 261, 577, 422

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

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 81, 261, 577, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 261, 577, 422 is 1.

Therefore, GCD of numbers 81, 261, 577, 422 is 1

Given Input Data is 81, 261, 577, 422

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

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 577 is 577

Prime Factorization of 422 is 2 x 211

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(81, 261) = 2349

GCD(81, 261) = ( 81 x 261 ) / 2349

GCD(81, 261) = 21141 / 2349

GCD(81, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 577

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

LCM(9, 577) = 5193

GCD(9, 577) = ( 9 x 577 ) / 5193

GCD(9, 577) = 5193 / 5193

GCD(9, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 81, 261, 577, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 103, 463, 876
• GCD of 71, 178, 672, 210
• GCD of 86, 293, 563, 161
• GCD of 83, 652, 198, 641
• GCD of 50, 702, 369, 236

1. What is the GCD of 81, 261, 577, 422?

GCD of 81, 261, 577, 422 is 1

2. Where do I get the detailed procedure to find GCD of 81, 261, 577, 422?

You can find a detailed procedure to find GCD of 81, 261, 577, 422 on our page.

3. How to find GCD of 81, 261, 577, 422 on a calculator?

You can find the GCD of 81, 261, 577, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.