GCD of 999, 217, 143, 193 Calculator

Given Input numbers are 999, 217, 143, 193

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 999, 217, 143, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 217, 143, 193 is 1.

Therefore, GCD of numbers 999, 217, 143, 193 is 1

Given Input Data is 999, 217, 143, 193

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 217 is 7 x 31

Prime Factorization of 143 is 11 x 13

Prime Factorization of 193 is 193

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(999, 217) = 216783

GCD(999, 217) = ( 999 x 217 ) / 216783

GCD(999, 217) = 216783 / 216783

GCD(999, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 999, 217, 143, 193 is 1

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1. What is the GCD of 999, 217, 143, 193?

GCD of 999, 217, 143, 193 is 1

2. Where do I get the detailed procedure to find GCD of 999, 217, 143, 193?

You can find a detailed procedure to find GCD of 999, 217, 143, 193 on our page.

3. How to find GCD of 999, 217, 143, 193 on a calculator?

You can find the GCD of 999, 217, 143, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.