GCD of 522, 190, 71, 271 Calculator

Given Input numbers are 522, 190, 71, 271

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 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 522, 190, 71, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 190, 71, 271 is 1.

Therefore, GCD of numbers 522, 190, 71, 271 is 1

Given Input Data is 522, 190, 71, 271

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 190 is 2 x 5 x 19

Prime Factorization of 71 is 71

Prime Factorization of 271 is 271

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, 190) = 49590

GCD(522, 190) = ( 522 x 190 ) / 49590

GCD(522, 190) = 99180 / 49590

GCD(522, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 522, 190, 71, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 746, 13, 798
• GCD of 863, 421, 53, 203
• GCD of 361, 160, 28, 848
• GCD of 322, 182, 96, 887
• GCD of 894, 547, 43, 408

1. What is the GCD of 522, 190, 71, 271?

GCD of 522, 190, 71, 271 is 1

2. Where do I get the detailed procedure to find GCD of 522, 190, 71, 271?

You can find a detailed procedure to find GCD of 522, 190, 71, 271 on our page.

3. How to find GCD of 522, 190, 71, 271 on a calculator?

You can find the GCD of 522, 190, 71, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.