GCD of 234, 327, 538, 991 Calculator

Given Input numbers are 234, 327, 538, 991

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 538

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

1, 2, 269, 538

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 234, 327, 538, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 327, 538, 991 is 1.

Therefore, GCD of numbers 234, 327, 538, 991 is 1

Given Input Data is 234, 327, 538, 991

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 327 is 3 x 109

Prime Factorization of 538 is 2 x 269

Prime Factorization of 991 is 991

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(234, 327) = 25506

GCD(234, 327) = ( 234 x 327 ) / 25506

GCD(234, 327) = 76518 / 25506

GCD(234, 327) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 234, 327, 538, 991 is 1

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1. What is the GCD of 234, 327, 538, 991?

GCD of 234, 327, 538, 991 is 1

2. Where do I get the detailed procedure to find GCD of 234, 327, 538, 991?

You can find a detailed procedure to find GCD of 234, 327, 538, 991 on our page.

3. How to find GCD of 234, 327, 538, 991 on a calculator?

You can find the GCD of 234, 327, 538, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.