GCD of 288, 823, 321, 186 Calculator

Given Input numbers are 288, 823, 321, 186

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 321

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

1, 3, 107, 321

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 288, 823, 321, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 823, 321, 186 is 1.

Therefore, GCD of numbers 288, 823, 321, 186 is 1

Given Input Data is 288, 823, 321, 186

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 823 is 823

Prime Factorization of 321 is 3 x 107

Prime Factorization of 186 is 2 x 3 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(288, 823) = 237024

GCD(288, 823) = ( 288 x 823 ) / 237024

GCD(288, 823) = 237024 / 237024

GCD(288, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 288, 823, 321, 186 is 1

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1. What is the GCD of 288, 823, 321, 186?

GCD of 288, 823, 321, 186 is 1

2. Where do I get the detailed procedure to find GCD of 288, 823, 321, 186?

You can find a detailed procedure to find GCD of 288, 823, 321, 186 on our page.

3. How to find GCD of 288, 823, 321, 186 on a calculator?

You can find the GCD of 288, 823, 321, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.