GCD of 522, 159, 397, 268 Calculator

Given Input numbers are 522, 159, 397, 268

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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 522, 159, 397, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 159, 397, 268 is 1.

Therefore, GCD of numbers 522, 159, 397, 268 is 1

Given Input Data is 522, 159, 397, 268

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 159 is 3 x 53

Prime Factorization of 397 is 397

Prime Factorization of 268 is 2 x 2 x 67

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, 159) = 27666

GCD(522, 159) = ( 522 x 159 ) / 27666

GCD(522, 159) = 82998 / 27666

GCD(522, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 397

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

LCM(3, 397) = 1191

GCD(3, 397) = ( 3 x 397 ) / 1191

GCD(3, 397) = 1191 / 1191

GCD(3, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 522, 159, 397, 268 is 1

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• GCD of 195, 860, 797, 316
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1. What is the GCD of 522, 159, 397, 268?

GCD of 522, 159, 397, 268 is 1

2. Where do I get the detailed procedure to find GCD of 522, 159, 397, 268?

You can find a detailed procedure to find GCD of 522, 159, 397, 268 on our page.

3. How to find GCD of 522, 159, 397, 268 on a calculator?

You can find the GCD of 522, 159, 397, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.