GCD of 728, 161, 82, 989 Calculator

Given Input numbers are 728, 161, 82, 989

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 728, 161, 82, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 161, 82, 989 is 1.

Therefore, GCD of numbers 728, 161, 82, 989 is 1

Given Input Data is 728, 161, 82, 989

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 161 is 7 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 989 is 23 x 43

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, 161) = 16744

GCD(728, 161) = ( 728 x 161 ) / 16744

GCD(728, 161) = 117208 / 16744

GCD(728, 161) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 82

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

LCM(7, 82) = 574

GCD(7, 82) = ( 7 x 82 ) / 574

GCD(7, 82) = 574 / 574

GCD(7, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 728, 161, 82, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 702, 79, 883
• GCD of 384, 651, 40, 691
• GCD of 472, 214, 31, 864
• GCD of 568, 181, 24, 787
• GCD of 259, 759, 24, 629

1. What is the GCD of 728, 161, 82, 989?

GCD of 728, 161, 82, 989 is 1

2. Where do I get the detailed procedure to find GCD of 728, 161, 82, 989?

You can find a detailed procedure to find GCD of 728, 161, 82, 989 on our page.

3. How to find GCD of 728, 161, 82, 989 on a calculator?

You can find the GCD of 728, 161, 82, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.