GCD of 370, 366, 656, 227 Calculator

Given Input numbers are 370, 366, 656, 227

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Greatest Common Divisior

We found the divisors of 370, 366, 656, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 366, 656, 227 is 1.

Therefore, GCD of numbers 370, 366, 656, 227 is 1

Given Input Data is 370, 366, 656, 227

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 227 is 227

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(370, 366) = 67710

GCD(370, 366) = ( 370 x 366 ) / 67710

GCD(370, 366) = 135420 / 67710

GCD(370, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

GCD of 370, 366, 656, 227 is 1

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1. What is the GCD of 370, 366, 656, 227?

GCD of 370, 366, 656, 227 is 1

2. Where do I get the detailed procedure to find GCD of 370, 366, 656, 227?

You can find a detailed procedure to find GCD of 370, 366, 656, 227 on our page.

3. How to find GCD of 370, 366, 656, 227 on a calculator?

You can find the GCD of 370, 366, 656, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.