GCD of 546, 381, 106, 239 Calculator

Given Input numbers are 546, 381, 106, 239

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 381

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

1, 3, 127, 381

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 546, 381, 106, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 381, 106, 239 is 1.

Therefore, GCD of numbers 546, 381, 106, 239 is 1

Given Input Data is 546, 381, 106, 239

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 381 is 3 x 127

Prime Factorization of 106 is 2 x 53

Prime Factorization of 239 is 239

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(546, 381) = 69342

GCD(546, 381) = ( 546 x 381 ) / 69342

GCD(546, 381) = 208026 / 69342

GCD(546, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 106

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

LCM(3, 106) = 318

GCD(3, 106) = ( 3 x 106 ) / 318

GCD(3, 106) = 318 / 318

GCD(3, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 546, 381, 106, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 707, 164, 447
• GCD of 725, 735, 314, 880
• GCD of 221, 549, 400, 340
• GCD of 676, 452, 588, 686
• GCD of 599, 895, 818, 732

1. What is the GCD of 546, 381, 106, 239?

GCD of 546, 381, 106, 239 is 1

2. Where do I get the detailed procedure to find GCD of 546, 381, 106, 239?

You can find a detailed procedure to find GCD of 546, 381, 106, 239 on our page.

3. How to find GCD of 546, 381, 106, 239 on a calculator?

You can find the GCD of 546, 381, 106, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.