GCD of 115, 361, 644, 229 Calculator

Given Input numbers are 115, 361, 644, 229

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 115, 361, 644, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 361, 644, 229 is 1.

Therefore, GCD of numbers 115, 361, 644, 229 is 1

Given Input Data is 115, 361, 644, 229

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 361 is 19 x 19

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 229 is 229

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(115, 361) = 41515

GCD(115, 361) = ( 115 x 361 ) / 41515

GCD(115, 361) = 41515 / 41515

GCD(115, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 115, 361, 644, 229 is 1

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• GCD of 135, 571, 289, 407
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1. What is the GCD of 115, 361, 644, 229?

GCD of 115, 361, 644, 229 is 1

2. Where do I get the detailed procedure to find GCD of 115, 361, 644, 229?

You can find a detailed procedure to find GCD of 115, 361, 644, 229 on our page.

3. How to find GCD of 115, 361, 644, 229 on a calculator?

You can find the GCD of 115, 361, 644, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.