GCD of 232, 405, 114, 713 Calculator

Given Input numbers are 232, 405, 114, 713

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 232, 405, 114, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 405, 114, 713 is 1.

Therefore, GCD of numbers 232, 405, 114, 713 is 1

Given Input Data is 232, 405, 114, 713

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 713 is 23 x 31

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(232, 405) = 93960

GCD(232, 405) = ( 232 x 405 ) / 93960

GCD(232, 405) = 93960 / 93960

GCD(232, 405) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 232, 405, 114, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 723, 732, 712
• GCD of 275, 969, 803, 549
• GCD of 161, 421, 764, 624
• GCD of 111, 301, 803, 932
• GCD of 106, 419, 396, 786

1. What is the GCD of 232, 405, 114, 713?

GCD of 232, 405, 114, 713 is 1

2. Where do I get the detailed procedure to find GCD of 232, 405, 114, 713?

You can find a detailed procedure to find GCD of 232, 405, 114, 713 on our page.

3. How to find GCD of 232, 405, 114, 713 on a calculator?

You can find the GCD of 232, 405, 114, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.