GCD of 315, 522, 227, 548 Calculator

Given Input numbers are 315, 522, 227, 548

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 227

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

1, 227

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 315, 522, 227, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 522, 227, 548 is 1.

Therefore, GCD of numbers 315, 522, 227, 548 is 1

Given Input Data is 315, 522, 227, 548

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 227 is 227

Prime Factorization of 548 is 2 x 2 x 137

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, 522) = 18270

GCD(315, 522) = ( 315 x 522 ) / 18270

GCD(315, 522) = 164430 / 18270

GCD(315, 522) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 227

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

LCM(9, 227) = 2043

GCD(9, 227) = ( 9 x 227 ) / 2043

GCD(9, 227) = 2043 / 2043

GCD(9, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 315, 522, 227, 548 is 1

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1. What is the GCD of 315, 522, 227, 548?

GCD of 315, 522, 227, 548 is 1

2. Where do I get the detailed procedure to find GCD of 315, 522, 227, 548?

You can find a detailed procedure to find GCD of 315, 522, 227, 548 on our page.

3. How to find GCD of 315, 522, 227, 548 on a calculator?

You can find the GCD of 315, 522, 227, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.