GCD of 989, 728, 361 Calculator

Given Input numbers are 989, 728, 361

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

Divisors of 989

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

1, 23, 43, 989

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 989, 728, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 728, 361 is 1.

Therefore, GCD of numbers 989, 728, 361 is 1

Given Input Data is 989, 728, 361

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

Prime Factorization of 989 is 23 x 43

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

Prime Factorization of 361 is 19 x 19

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(989, 728) = 719992

GCD(989, 728) = ( 989 x 728 ) / 719992

GCD(989, 728) = 719992 / 719992

GCD(989, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 989, 728, 361 is 1

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• GCD of 743, 925, 224
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1. What is the GCD of 989, 728, 361?

GCD of 989, 728, 361 is 1

2. Where do I get the detailed procedure to find GCD of 989, 728, 361?

You can find a detailed procedure to find GCD of 989, 728, 361 on our page.

3. How to find GCD of 989, 728, 361 on a calculator?

You can find the GCD of 989, 728, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.