GCD of 993, 450, 89 Calculator

Given Input numbers are 993, 450, 89

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

Divisors of 993

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

1, 3, 331, 993

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 993, 450, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 450, 89 is 1.

Therefore, GCD of numbers 993, 450, 89 is 1

Given Input Data is 993, 450, 89

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 89 is 89

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(993, 450) = 148950

GCD(993, 450) = ( 993 x 450 ) / 148950

GCD(993, 450) = 446850 / 148950

GCD(993, 450) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

GCD of 993, 450, 89 is 1

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1. What is the GCD of 993, 450, 89?

GCD of 993, 450, 89 is 1

2. Where do I get the detailed procedure to find GCD of 993, 450, 89?

You can find a detailed procedure to find GCD of 993, 450, 89 on our page.

3. How to find GCD of 993, 450, 89 on a calculator?

You can find the GCD of 993, 450, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.