GCD of 282, 184, 185, 365 Calculator

Given Input numbers are 282, 184, 185, 365

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 282, 184, 185, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 184, 185, 365 is 1.

Therefore, GCD of numbers 282, 184, 185, 365 is 1

Given Input Data is 282, 184, 185, 365

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 185 is 5 x 37

Prime Factorization of 365 is 5 x 73

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(282, 184) = 25944

GCD(282, 184) = ( 282 x 184 ) / 25944

GCD(282, 184) = 51888 / 25944

GCD(282, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 282, 184, 185, 365 is 1

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1. What is the GCD of 282, 184, 185, 365?

GCD of 282, 184, 185, 365 is 1

2. Where do I get the detailed procedure to find GCD of 282, 184, 185, 365?

You can find a detailed procedure to find GCD of 282, 184, 185, 365 on our page.

3. How to find GCD of 282, 184, 185, 365 on a calculator?

You can find the GCD of 282, 184, 185, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.