GCD of 229, 613, 345, 585 Calculator

Given Input numbers are 229, 613, 345, 585

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

Divisors of 229

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

1, 229

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 229, 613, 345, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 613, 345, 585 is 1.

Therefore, GCD of numbers 229, 613, 345, 585 is 1

Given Input Data is 229, 613, 345, 585

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

Prime Factorization of 229 is 229

Prime Factorization of 613 is 613

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(229, 613) = 140377

GCD(229, 613) = ( 229 x 613 ) / 140377

GCD(229, 613) = 140377 / 140377

GCD(229, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 229, 613, 345, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 934, 620, 914
• GCD of 150, 633, 627, 320
• GCD of 500, 924, 373, 325
• GCD of 635, 949, 583, 481
• GCD of 957, 136, 176, 825

1. What is the GCD of 229, 613, 345, 585?

GCD of 229, 613, 345, 585 is 1

2. Where do I get the detailed procedure to find GCD of 229, 613, 345, 585?

You can find a detailed procedure to find GCD of 229, 613, 345, 585 on our page.

3. How to find GCD of 229, 613, 345, 585 on a calculator?

You can find the GCD of 229, 613, 345, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.