GCD of 216, 932, 729, 997 Calculator

Given Input numbers are 216, 932, 729, 997

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

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 216, 932, 729, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 932, 729, 997 is 1.

Therefore, GCD of numbers 216, 932, 729, 997 is 1

Given Input Data is 216, 932, 729, 997

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 932 is 2 x 2 x 233

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

Prime Factorization of 997 is 997

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(216, 932) = 50328

GCD(216, 932) = ( 216 x 932 ) / 50328

GCD(216, 932) = 201312 / 50328

GCD(216, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 729

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

LCM(4, 729) = 2916

GCD(4, 729) = ( 4 x 729 ) / 2916

GCD(4, 729) = 2916 / 2916

GCD(4, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 216, 932, 729, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 146, 434, 217
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• GCD of 231, 372, 358, 642

1. What is the GCD of 216, 932, 729, 997?

GCD of 216, 932, 729, 997 is 1

2. Where do I get the detailed procedure to find GCD of 216, 932, 729, 997?

You can find a detailed procedure to find GCD of 216, 932, 729, 997 on our page.

3. How to find GCD of 216, 932, 729, 997 on a calculator?

You can find the GCD of 216, 932, 729, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.