GCD of 381, 129, 17, 273 Calculator

Given Input numbers are 381, 129, 17, 273

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 381, 129, 17, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 129, 17, 273 is 1.

Therefore, GCD of numbers 381, 129, 17, 273 is 1

Given Input Data is 381, 129, 17, 273

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 129 is 3 x 43

Prime Factorization of 17 is 17

Prime Factorization of 273 is 3 x 7 x 13

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(381, 129) = 16383

GCD(381, 129) = ( 381 x 129 ) / 16383

GCD(381, 129) = 49149 / 16383

GCD(381, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 381, 129, 17, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 372, 52, 705
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• GCD of 633, 218, 68, 197
• GCD of 500, 844, 96, 863
• GCD of 169, 300, 65, 662

1. What is the GCD of 381, 129, 17, 273?

GCD of 381, 129, 17, 273 is 1

2. Where do I get the detailed procedure to find GCD of 381, 129, 17, 273?

You can find a detailed procedure to find GCD of 381, 129, 17, 273 on our page.

3. How to find GCD of 381, 129, 17, 273 on a calculator?

You can find the GCD of 381, 129, 17, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.