GCD of 546, 338, 449 Calculator

Given Input numbers are 546, 338, 449

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 546, 338, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 338, 449 is 1.

Therefore, GCD of numbers 546, 338, 449 is 1

Given Input Data is 546, 338, 449

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 338 is 2 x 13 x 13

Prime Factorization of 449 is 449

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, 338) = 7098

GCD(546, 338) = ( 546 x 338 ) / 7098

GCD(546, 338) = 184548 / 7098

GCD(546, 338) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 449

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

LCM(26, 449) = 11674

GCD(26, 449) = ( 26 x 449 ) / 11674

GCD(26, 449) = 11674 / 11674

GCD(26, 449) = 1

GCD of 546, 338, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 244, 365
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• GCD of 200, 403, 963
• GCD of 604, 949, 587
• GCD of 842, 265, 827

1. What is the GCD of 546, 338, 449?

GCD of 546, 338, 449 is 1

2. Where do I get the detailed procedure to find GCD of 546, 338, 449?

You can find a detailed procedure to find GCD of 546, 338, 449 on our page.

3. How to find GCD of 546, 338, 449 on a calculator?

You can find the GCD of 546, 338, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.