GCD of 117, 594, 538 Calculator

Given Input numbers are 117, 594, 538

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 117, 594, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 594, 538 is 1.

Therefore, GCD of numbers 117, 594, 538 is 1

Given Input Data is 117, 594, 538

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 538 is 2 x 269

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(117, 594) = 7722

GCD(117, 594) = ( 117 x 594 ) / 7722

GCD(117, 594) = 69498 / 7722

GCD(117, 594) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 538

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

LCM(9, 538) = 4842

GCD(9, 538) = ( 9 x 538 ) / 4842

GCD(9, 538) = 4842 / 4842

GCD(9, 538) = 1

GCD of 117, 594, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 860, 807
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• GCD of 569, 919, 353
• GCD of 639, 298, 109
• GCD of 884, 880, 611

1. What is the GCD of 117, 594, 538?

GCD of 117, 594, 538 is 1

2. Where do I get the detailed procedure to find GCD of 117, 594, 538?

You can find a detailed procedure to find GCD of 117, 594, 538 on our page.

3. How to find GCD of 117, 594, 538 on a calculator?

You can find the GCD of 117, 594, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.