GCD of 800, 832, 321, 258 Calculator

Given Input numbers are 800, 832, 321, 258

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 800, 832, 321, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 832, 321, 258 is 1.

Therefore, GCD of numbers 800, 832, 321, 258 is 1

Given Input Data is 800, 832, 321, 258

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 321 is 3 x 107

Prime Factorization of 258 is 2 x 3 x 43

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(800, 832) = 20800

GCD(800, 832) = ( 800 x 832 ) / 20800

GCD(800, 832) = 665600 / 20800

GCD(800, 832) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 321

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

LCM(32, 321) = 10272

GCD(32, 321) = ( 32 x 321 ) / 10272

GCD(32, 321) = 10272 / 10272

GCD(32, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 800, 832, 321, 258 is 1

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• GCD of 683, 245, 970, 198
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1. What is the GCD of 800, 832, 321, 258?

GCD of 800, 832, 321, 258 is 1

2. Where do I get the detailed procedure to find GCD of 800, 832, 321, 258?

You can find a detailed procedure to find GCD of 800, 832, 321, 258 on our page.

3. How to find GCD of 800, 832, 321, 258 on a calculator?

You can find the GCD of 800, 832, 321, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.