GCD of 243, 205, 82, 427 Calculator

Given Input numbers are 243, 205, 82, 427

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 243, 205, 82, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 205, 82, 427 is 1.

Therefore, GCD of numbers 243, 205, 82, 427 is 1

Given Input Data is 243, 205, 82, 427

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 205 is 5 x 41

Prime Factorization of 82 is 2 x 41

Prime Factorization of 427 is 7 x 61

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(243, 205) = 49815

GCD(243, 205) = ( 243 x 205 ) / 49815

GCD(243, 205) = 49815 / 49815

GCD(243, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 243, 205, 82, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 805, 61, 141
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• GCD of 644, 537, 16, 942
• GCD of 325, 910, 29, 730
• GCD of 681, 207, 56, 181

1. What is the GCD of 243, 205, 82, 427?

GCD of 243, 205, 82, 427 is 1

2. Where do I get the detailed procedure to find GCD of 243, 205, 82, 427?

You can find a detailed procedure to find GCD of 243, 205, 82, 427 on our page.

3. How to find GCD of 243, 205, 82, 427 on a calculator?

You can find the GCD of 243, 205, 82, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.