GCD of 243, 457, 731, 116 Calculator

Given Input numbers are 243, 457, 731, 116

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 243, 457, 731, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 457, 731, 116 is 1.

Therefore, GCD of numbers 243, 457, 731, 116 is 1

Given Input Data is 243, 457, 731, 116

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 457 is 457

Prime Factorization of 731 is 17 x 43

Prime Factorization of 116 is 2 x 2 x 29

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, 457) = 111051

GCD(243, 457) = ( 243 x 457 ) / 111051

GCD(243, 457) = 111051 / 111051

GCD(243, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 243, 457, 731, 116 is 1

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1. What is the GCD of 243, 457, 731, 116?

GCD of 243, 457, 731, 116 is 1

2. Where do I get the detailed procedure to find GCD of 243, 457, 731, 116?

You can find a detailed procedure to find GCD of 243, 457, 731, 116 on our page.

3. How to find GCD of 243, 457, 731, 116 on a calculator?

You can find the GCD of 243, 457, 731, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.