GCD of 538, 504, 27, 123 Calculator

Given Input numbers are 538, 504, 27, 123

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 538, 504, 27, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 504, 27, 123 is 1.

Therefore, GCD of numbers 538, 504, 27, 123 is 1

Given Input Data is 538, 504, 27, 123

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 123 is 3 x 41

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, 504) = 135576

GCD(538, 504) = ( 538 x 504 ) / 135576

GCD(538, 504) = 271152 / 135576

GCD(538, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 538, 504, 27, 123 is 1

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• GCD of 537, 838, 59, 822
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1. What is the GCD of 538, 504, 27, 123?

GCD of 538, 504, 27, 123 is 1

2. Where do I get the detailed procedure to find GCD of 538, 504, 27, 123?

You can find a detailed procedure to find GCD of 538, 504, 27, 123 on our page.

3. How to find GCD of 538, 504, 27, 123 on a calculator?

You can find the GCD of 538, 504, 27, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.