GCD of 230, 399, 69, 506 Calculator

Given Input numbers are 230, 399, 69, 506

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 230, 399, 69, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 399, 69, 506 is 1.

Therefore, GCD of numbers 230, 399, 69, 506 is 1

Given Input Data is 230, 399, 69, 506

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 69 is 3 x 23

Prime Factorization of 506 is 2 x 11 x 23

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(230, 399) = 91770

GCD(230, 399) = ( 230 x 399 ) / 91770

GCD(230, 399) = 91770 / 91770

GCD(230, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 230, 399, 69, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 150, 96, 987
• GCD of 996, 627, 48, 584
• GCD of 715, 545, 22, 293
• GCD of 696, 623, 59, 781
• GCD of 320, 323, 19, 832

1. What is the GCD of 230, 399, 69, 506?

GCD of 230, 399, 69, 506 is 1

2. Where do I get the detailed procedure to find GCD of 230, 399, 69, 506?

You can find a detailed procedure to find GCD of 230, 399, 69, 506 on our page.

3. How to find GCD of 230, 399, 69, 506 on a calculator?

You can find the GCD of 230, 399, 69, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.