GCD of 546, 828, 728, 307 Calculator

Given Input numbers are 546, 828, 728, 307

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 546, 828, 728, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 828, 728, 307 is 1.

Therefore, GCD of numbers 546, 828, 728, 307 is 1

Given Input Data is 546, 828, 728, 307

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 307 is 307

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, 828) = 75348

GCD(546, 828) = ( 546 x 828 ) / 75348

GCD(546, 828) = 452088 / 75348

GCD(546, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 728

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

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

GCD(6, 728) = 4368 / 2184

GCD(6, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

GCD of 546, 828, 728, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 860, 752, 146
• GCD of 704, 241, 721, 323
• GCD of 530, 691, 412, 972
• GCD of 457, 838, 470, 902
• GCD of 678, 573, 364, 901

1. What is the GCD of 546, 828, 728, 307?

GCD of 546, 828, 728, 307 is 1

2. Where do I get the detailed procedure to find GCD of 546, 828, 728, 307?

You can find a detailed procedure to find GCD of 546, 828, 728, 307 on our page.

3. How to find GCD of 546, 828, 728, 307 on a calculator?

You can find the GCD of 546, 828, 728, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.