GCD of 546, 369, 14, 549 Calculator

Given Input numbers are 546, 369, 14, 549

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 546, 369, 14, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 369, 14, 549 is 1.

Therefore, GCD of numbers 546, 369, 14, 549 is 1

Given Input Data is 546, 369, 14, 549

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 369 is 3 x 3 x 41

Prime Factorization of 14 is 2 x 7

Prime Factorization of 549 is 3 x 3 x 61

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, 369) = 67158

GCD(546, 369) = ( 546 x 369 ) / 67158

GCD(546, 369) = 201474 / 67158

GCD(546, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 546, 369, 14, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 238, 59, 827
• GCD of 341, 309, 86, 870
• GCD of 192, 135, 63, 616
• GCD of 307, 889, 20, 758
• GCD of 771, 850, 19, 313

1. What is the GCD of 546, 369, 14, 549?

GCD of 546, 369, 14, 549 is 1

2. Where do I get the detailed procedure to find GCD of 546, 369, 14, 549?

You can find a detailed procedure to find GCD of 546, 369, 14, 549 on our page.

3. How to find GCD of 546, 369, 14, 549 on a calculator?

You can find the GCD of 546, 369, 14, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.