GCD of 15, 729, 143, 184 Calculator

Given Input numbers are 15, 729, 143, 184

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 15, 729, 143, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 729, 143, 184 is 1.

Therefore, GCD of numbers 15, 729, 143, 184 is 1

Given Input Data is 15, 729, 143, 184

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 143 is 11 x 13

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(15, 729) = 3645

GCD(15, 729) = ( 15 x 729 ) / 3645

GCD(15, 729) = 10935 / 3645

GCD(15, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 143

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

LCM(3, 143) = 429

GCD(3, 143) = ( 3 x 143 ) / 429

GCD(3, 143) = 429 / 429

GCD(3, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 15, 729, 143, 184 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 865, 507, 772
• GCD of 43, 562, 230, 790
• GCD of 45, 318, 732, 466
• GCD of 44, 141, 323, 309
• GCD of 75, 968, 876, 782

1. What is the GCD of 15, 729, 143, 184?

GCD of 15, 729, 143, 184 is 1

2. Where do I get the detailed procedure to find GCD of 15, 729, 143, 184?

You can find a detailed procedure to find GCD of 15, 729, 143, 184 on our page.

3. How to find GCD of 15, 729, 143, 184 on a calculator?

You can find the GCD of 15, 729, 143, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.