GCD of 538, 351, 570, 159 Calculator

Given Input numbers are 538, 351, 570, 159

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 538, 351, 570, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 351, 570, 159 is 1.

Therefore, GCD of numbers 538, 351, 570, 159 is 1

Given Input Data is 538, 351, 570, 159

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 159 is 3 x 53

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(538, 351) = 188838

GCD(538, 351) = ( 538 x 351 ) / 188838

GCD(538, 351) = 188838 / 188838

GCD(538, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 538, 351, 570, 159 is 1

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1. What is the GCD of 538, 351, 570, 159?

GCD of 538, 351, 570, 159 is 1

2. Where do I get the detailed procedure to find GCD of 538, 351, 570, 159?

You can find a detailed procedure to find GCD of 538, 351, 570, 159 on our page.

3. How to find GCD of 538, 351, 570, 159 on a calculator?

You can find the GCD of 538, 351, 570, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.