GCD of 489, 305, 733, 993 Calculator

Given Input numbers are 489, 305, 733, 993

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 489, 305, 733, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 305, 733, 993 is 1.

Therefore, GCD of numbers 489, 305, 733, 993 is 1

Given Input Data is 489, 305, 733, 993

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 305 is 5 x 61

Prime Factorization of 733 is 733

Prime Factorization of 993 is 3 x 331

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(489, 305) = 149145

GCD(489, 305) = ( 489 x 305 ) / 149145

GCD(489, 305) = 149145 / 149145

GCD(489, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 489, 305, 733, 993 is 1

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1. What is the GCD of 489, 305, 733, 993?

GCD of 489, 305, 733, 993 is 1

2. Where do I get the detailed procedure to find GCD of 489, 305, 733, 993?

You can find a detailed procedure to find GCD of 489, 305, 733, 993 on our page.

3. How to find GCD of 489, 305, 733, 993 on a calculator?

You can find the GCD of 489, 305, 733, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.