GCD of 238, 529, 27, 108 Calculator

Given Input numbers are 238, 529, 27, 108

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 27

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

1, 3, 9, 27

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 238, 529, 27, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 529, 27, 108 is 1.

Therefore, GCD of numbers 238, 529, 27, 108 is 1

Given Input Data is 238, 529, 27, 108

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 529 is 23 x 23

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 108 is 2 x 2 x 3 x 3 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(238, 529) = 125902

GCD(238, 529) = ( 238 x 529 ) / 125902

GCD(238, 529) = 125902 / 125902

GCD(238, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 238, 529, 27, 108 is 1

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1. What is the GCD of 238, 529, 27, 108?

GCD of 238, 529, 27, 108 is 1

2. Where do I get the detailed procedure to find GCD of 238, 529, 27, 108?

You can find a detailed procedure to find GCD of 238, 529, 27, 108 on our page.

3. How to find GCD of 238, 529, 27, 108 on a calculator?

You can find the GCD of 238, 529, 27, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.