GCD of 200, 492, 729, 993 Calculator

Given Input numbers are 200, 492, 729, 993

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

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 200, 492, 729, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 492, 729, 993 is 1.

Therefore, GCD of numbers 200, 492, 729, 993 is 1

Given Input Data is 200, 492, 729, 993

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(200, 492) = 24600

GCD(200, 492) = ( 200 x 492 ) / 24600

GCD(200, 492) = 98400 / 24600

GCD(200, 492) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 729

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

LCM(4, 729) = 2916

GCD(4, 729) = ( 4 x 729 ) / 2916

GCD(4, 729) = 2916 / 2916

GCD(4, 729) = 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 200, 492, 729, 993 is 1

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1. What is the GCD of 200, 492, 729, 993?

GCD of 200, 492, 729, 993 is 1

2. Where do I get the detailed procedure to find GCD of 200, 492, 729, 993?

You can find a detailed procedure to find GCD of 200, 492, 729, 993 on our page.

3. How to find GCD of 200, 492, 729, 993 on a calculator?

You can find the GCD of 200, 492, 729, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.