GCD of 321, 186, 538 Calculator

Given Input numbers are 321, 186, 538

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

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 321, 186, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 186, 538 is 1.

Therefore, GCD of numbers 321, 186, 538 is 1

Given Input Data is 321, 186, 538

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 186 is 2 x 3 x 31

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(321, 186) = 19902

GCD(321, 186) = ( 321 x 186 ) / 19902

GCD(321, 186) = 59706 / 19902

GCD(321, 186) = 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

GCD of 321, 186, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 682, 942
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1. What is the GCD of 321, 186, 538?

GCD of 321, 186, 538 is 1

2. Where do I get the detailed procedure to find GCD of 321, 186, 538?

You can find a detailed procedure to find GCD of 321, 186, 538 on our page.

3. How to find GCD of 321, 186, 538 on a calculator?

You can find the GCD of 321, 186, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.