GCD of 37, 222, 323, 301 Calculator

Given Input numbers are 37, 222, 323, 301

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 37, 222, 323, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 222, 323, 301 is 1.

Therefore, GCD of numbers 37, 222, 323, 301 is 1

Given Input Data is 37, 222, 323, 301

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

Prime Factorization of 37 is 37

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 323 is 17 x 19

Prime Factorization of 301 is 7 x 43

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(37, 222) = 222

GCD(37, 222) = ( 37 x 222 ) / 222

GCD(37, 222) = 8214 / 222

GCD(37, 222) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 323

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

LCM(37, 323) = 11951

GCD(37, 323) = ( 37 x 323 ) / 11951

GCD(37, 323) = 11951 / 11951

GCD(37, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 37, 222, 323, 301 is 1

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1. What is the GCD of 37, 222, 323, 301?

GCD of 37, 222, 323, 301 is 1

2. Where do I get the detailed procedure to find GCD of 37, 222, 323, 301?

You can find a detailed procedure to find GCD of 37, 222, 323, 301 on our page.

3. How to find GCD of 37, 222, 323, 301 on a calculator?

You can find the GCD of 37, 222, 323, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.