GCD of 728, 152, 23, 546 Calculator

Given Input numbers are 728, 152, 23, 546

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

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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

Greatest Common Divisior

We found the divisors of 728, 152, 23, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 152, 23, 546 is 1.

Therefore, GCD of numbers 728, 152, 23, 546 is 1

Given Input Data is 728, 152, 23, 546

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

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 23 is 23

Prime Factorization of 546 is 2 x 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(728, 152) = 13832

GCD(728, 152) = ( 728 x 152 ) / 13832

GCD(728, 152) = 110656 / 13832

GCD(728, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 23

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

LCM(8, 23) = 184

GCD(8, 23) = ( 8 x 23 ) / 184

GCD(8, 23) = 184 / 184

GCD(8, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 728, 152, 23, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 326, 54, 579
• GCD of 539, 449, 32, 666
• GCD of 315, 979, 15, 338
• GCD of 946, 417, 21, 998
• GCD of 538, 873, 93, 767

1. What is the GCD of 728, 152, 23, 546?

GCD of 728, 152, 23, 546 is 1

2. Where do I get the detailed procedure to find GCD of 728, 152, 23, 546?

You can find a detailed procedure to find GCD of 728, 152, 23, 546 on our page.

3. How to find GCD of 728, 152, 23, 546 on a calculator?

You can find the GCD of 728, 152, 23, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.