GCD of 311, 726, 129, 216 Calculator

Given Input numbers are 311, 726, 129, 216

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 311, 726, 129, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 726, 129, 216 is 1.

Therefore, GCD of numbers 311, 726, 129, 216 is 1

Given Input Data is 311, 726, 129, 216

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

Prime Factorization of 311 is 311

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 129 is 3 x 43

Prime Factorization of 216 is 2 x 2 x 2 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(311, 726) = 225786

GCD(311, 726) = ( 311 x 726 ) / 225786

GCD(311, 726) = 225786 / 225786

GCD(311, 726) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 311, 726, 129, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 937, 855, 922
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• GCD of 216, 968, 823, 403
• GCD of 348, 901, 284, 416
• GCD of 559, 973, 699, 320

1. What is the GCD of 311, 726, 129, 216?

GCD of 311, 726, 129, 216 is 1

2. Where do I get the detailed procedure to find GCD of 311, 726, 129, 216?

You can find a detailed procedure to find GCD of 311, 726, 129, 216 on our page.

3. How to find GCD of 311, 726, 129, 216 on a calculator?

You can find the GCD of 311, 726, 129, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.