GCD of 232, 824, 723, 355 Calculator

Given Input numbers are 232, 824, 723, 355

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 232, 824, 723, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 824, 723, 355 is 1.

Therefore, GCD of numbers 232, 824, 723, 355 is 1

Given Input Data is 232, 824, 723, 355

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 723 is 3 x 241

Prime Factorization of 355 is 5 x 71

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, 824) = 23896

GCD(232, 824) = ( 232 x 824 ) / 23896

GCD(232, 824) = 191168 / 23896

GCD(232, 824) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 723

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

LCM(8, 723) = 5784

GCD(8, 723) = ( 8 x 723 ) / 5784

GCD(8, 723) = 5784 / 5784

GCD(8, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 232, 824, 723, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 586, 207, 793
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• GCD of 553, 955, 923, 135
• GCD of 332, 467, 838, 545

1. What is the GCD of 232, 824, 723, 355?

GCD of 232, 824, 723, 355 is 1

2. Where do I get the detailed procedure to find GCD of 232, 824, 723, 355?

You can find a detailed procedure to find GCD of 232, 824, 723, 355 on our page.

3. How to find GCD of 232, 824, 723, 355 on a calculator?

You can find the GCD of 232, 824, 723, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.