GCD of 314, 916, 729, 243 Calculator

Given Input numbers are 314, 916, 729, 243

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 243

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

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 314, 916, 729, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 916, 729, 243 is 1.

Therefore, GCD of numbers 314, 916, 729, 243 is 1

Given Input Data is 314, 916, 729, 243

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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

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(314, 916) = 143812

GCD(314, 916) = ( 314 x 916 ) / 143812

GCD(314, 916) = 287624 / 143812

GCD(314, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 314, 916, 729, 243 is 1

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• GCD of 516, 288, 576, 336
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1. What is the GCD of 314, 916, 729, 243?

GCD of 314, 916, 729, 243 is 1

2. Where do I get the detailed procedure to find GCD of 314, 916, 729, 243?

You can find a detailed procedure to find GCD of 314, 916, 729, 243 on our page.

3. How to find GCD of 314, 916, 729, 243 on a calculator?

You can find the GCD of 314, 916, 729, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.