GCD of 728, 754, 162, 599 Calculator

Given Input numbers are 728, 754, 162, 599

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 728, 754, 162, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 754, 162, 599 is 1.

Therefore, GCD of numbers 728, 754, 162, 599 is 1

Given Input Data is 728, 754, 162, 599

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 754 is 2 x 13 x 29

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 599 is 599

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, 754) = 21112

GCD(728, 754) = ( 728 x 754 ) / 21112

GCD(728, 754) = 548912 / 21112

GCD(728, 754) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 162

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

LCM(26, 162) = 2106

GCD(26, 162) = ( 26 x 162 ) / 2106

GCD(26, 162) = 4212 / 2106

GCD(26, 162) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

GCD of 728, 754, 162, 599 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 549, 772, 530
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• GCD of 728, 590, 444, 130

1. What is the GCD of 728, 754, 162, 599?

GCD of 728, 754, 162, 599 is 1

2. Where do I get the detailed procedure to find GCD of 728, 754, 162, 599?

You can find a detailed procedure to find GCD of 728, 754, 162, 599 on our page.

3. How to find GCD of 728, 754, 162, 599 on a calculator?

You can find the GCD of 728, 754, 162, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.