GCD of 538, 271, 434, 229 Calculator

Given Input numbers are 538, 271, 434, 229

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 271

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

1, 271

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 538, 271, 434, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 271, 434, 229 is 1.

Therefore, GCD of numbers 538, 271, 434, 229 is 1

Given Input Data is 538, 271, 434, 229

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 271 is 271

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 229 is 229

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, 271) = 145798

GCD(538, 271) = ( 538 x 271 ) / 145798

GCD(538, 271) = 145798 / 145798

GCD(538, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 538, 271, 434, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 850, 337, 718
• GCD of 971, 290, 839, 626
• GCD of 913, 687, 619, 329
• GCD of 451, 909, 945, 105
• GCD of 881, 688, 353, 515

1. What is the GCD of 538, 271, 434, 229?

GCD of 538, 271, 434, 229 is 1

2. Where do I get the detailed procedure to find GCD of 538, 271, 434, 229?

You can find a detailed procedure to find GCD of 538, 271, 434, 229 on our page.

3. How to find GCD of 538, 271, 434, 229 on a calculator?

You can find the GCD of 538, 271, 434, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.