GCD of 271, 351, 80, 324 Calculator

Given Input numbers are 271, 351, 80, 324

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 271, 351, 80, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 351, 80, 324 is 1.

Therefore, GCD of numbers 271, 351, 80, 324 is 1

Given Input Data is 271, 351, 80, 324

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

Prime Factorization of 271 is 271

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(271, 351) = 95121

GCD(271, 351) = ( 271 x 351 ) / 95121

GCD(271, 351) = 95121 / 95121

GCD(271, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 271, 351, 80, 324 is 1

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1. What is the GCD of 271, 351, 80, 324?

GCD of 271, 351, 80, 324 is 1

2. Where do I get the detailed procedure to find GCD of 271, 351, 80, 324?

You can find a detailed procedure to find GCD of 271, 351, 80, 324 on our page.

3. How to find GCD of 271, 351, 80, 324 on a calculator?

You can find the GCD of 271, 351, 80, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.