GCD of 227, 595, 48, 342 Calculator

Given Input numbers are 227, 595, 48, 342

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

Divisors of 227

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

1, 227

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 227, 595, 48, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 595, 48, 342 is 1.

Therefore, GCD of numbers 227, 595, 48, 342 is 1

Given Input Data is 227, 595, 48, 342

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

Prime Factorization of 227 is 227

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(227, 595) = 135065

GCD(227, 595) = ( 227 x 595 ) / 135065

GCD(227, 595) = 135065 / 135065

GCD(227, 595) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 227, 595, 48, 342 is 1

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1. What is the GCD of 227, 595, 48, 342?

GCD of 227, 595, 48, 342 is 1

2. Where do I get the detailed procedure to find GCD of 227, 595, 48, 342?

You can find a detailed procedure to find GCD of 227, 595, 48, 342 on our page.

3. How to find GCD of 227, 595, 48, 342 on a calculator?

You can find the GCD of 227, 595, 48, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.