GCD of 189, 501, 13, 614 Calculator

Given Input numbers are 189, 501, 13, 614

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 189, 501, 13, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 501, 13, 614 is 1.

Therefore, GCD of numbers 189, 501, 13, 614 is 1

Given Input Data is 189, 501, 13, 614

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 501 is 3 x 167

Prime Factorization of 13 is 13

Prime Factorization of 614 is 2 x 307

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(189, 501) = 31563

GCD(189, 501) = ( 189 x 501 ) / 31563

GCD(189, 501) = 94689 / 31563

GCD(189, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 189, 501, 13, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 935, 60, 556
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• GCD of 309, 980, 89, 299
• GCD of 676, 151, 38, 365
• GCD of 169, 879, 77, 451

1. What is the GCD of 189, 501, 13, 614?

GCD of 189, 501, 13, 614 is 1

2. Where do I get the detailed procedure to find GCD of 189, 501, 13, 614?

You can find a detailed procedure to find GCD of 189, 501, 13, 614 on our page.

3. How to find GCD of 189, 501, 13, 614 on a calculator?

You can find the GCD of 189, 501, 13, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.