GCD of 315, 657, 22, 227 Calculator

Given Input numbers are 315, 657, 22, 227

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 315, 657, 22, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 657, 22, 227 is 1.

Therefore, GCD of numbers 315, 657, 22, 227 is 1

Given Input Data is 315, 657, 22, 227

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 22 is 2 x 11

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(315, 657) = 22995

GCD(315, 657) = ( 315 x 657 ) / 22995

GCD(315, 657) = 206955 / 22995

GCD(315, 657) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 22

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

LCM(9, 22) = 198

GCD(9, 22) = ( 9 x 22 ) / 198

GCD(9, 22) = 198 / 198

GCD(9, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

GCD of 315, 657, 22, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 817, 20, 927
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1. What is the GCD of 315, 657, 22, 227?

GCD of 315, 657, 22, 227 is 1

2. Where do I get the detailed procedure to find GCD of 315, 657, 22, 227?

You can find a detailed procedure to find GCD of 315, 657, 22, 227 on our page.

3. How to find GCD of 315, 657, 22, 227 on a calculator?

You can find the GCD of 315, 657, 22, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.