GCD of 202, 309, 21, 173 Calculator

Given Input numbers are 202, 309, 21, 173

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 202, 309, 21, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 309, 21, 173 is 1.

Therefore, GCD of numbers 202, 309, 21, 173 is 1

Given Input Data is 202, 309, 21, 173

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 309 is 3 x 103

Prime Factorization of 21 is 3 x 7

Prime Factorization of 173 is 173

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(202, 309) = 62418

GCD(202, 309) = ( 202 x 309 ) / 62418

GCD(202, 309) = 62418 / 62418

GCD(202, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 202, 309, 21, 173 is 1

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1. What is the GCD of 202, 309, 21, 173?

GCD of 202, 309, 21, 173 is 1

2. Where do I get the detailed procedure to find GCD of 202, 309, 21, 173?

You can find a detailed procedure to find GCD of 202, 309, 21, 173 on our page.

3. How to find GCD of 202, 309, 21, 173 on a calculator?

You can find the GCD of 202, 309, 21, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.