GCD of 302, 173, 71, 221 Calculator

Given Input numbers are 302, 173, 71, 221

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 173

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

1, 173

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 302, 173, 71, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 173, 71, 221 is 1.

Therefore, GCD of numbers 302, 173, 71, 221 is 1

Given Input Data is 302, 173, 71, 221

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 173 is 173

Prime Factorization of 71 is 71

Prime Factorization of 221 is 13 x 17

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(302, 173) = 52246

GCD(302, 173) = ( 302 x 173 ) / 52246

GCD(302, 173) = 52246 / 52246

GCD(302, 173) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 302, 173, 71, 221 is 1

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1. What is the GCD of 302, 173, 71, 221?

GCD of 302, 173, 71, 221 is 1

2. Where do I get the detailed procedure to find GCD of 302, 173, 71, 221?

You can find a detailed procedure to find GCD of 302, 173, 71, 221 on our page.

3. How to find GCD of 302, 173, 71, 221 on a calculator?

You can find the GCD of 302, 173, 71, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.