GCD of 538, 371, 21, 192 Calculator

Given Input numbers are 538, 371, 21, 192

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 538, 371, 21, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 371, 21, 192 is 1.

Therefore, GCD of numbers 538, 371, 21, 192 is 1

Given Input Data is 538, 371, 21, 192

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 371 is 7 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 371) = 199598

GCD(538, 371) = ( 538 x 371 ) / 199598

GCD(538, 371) = 199598 / 199598

GCD(538, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

GCD of 538, 371, 21, 192 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 215, 76, 974
• GCD of 604, 472, 81, 745
• GCD of 619, 714, 86, 703
• GCD of 728, 757, 90, 289
• GCD of 220, 805, 89, 597

1. What is the GCD of 538, 371, 21, 192?

GCD of 538, 371, 21, 192 is 1

2. Where do I get the detailed procedure to find GCD of 538, 371, 21, 192?

You can find a detailed procedure to find GCD of 538, 371, 21, 192 on our page.

3. How to find GCD of 538, 371, 21, 192 on a calculator?

You can find the GCD of 538, 371, 21, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.