GCD of 81, 213, 457, 936 Calculator

Given Input numbers are 81, 213, 457, 936

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 457

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

1, 457

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 81, 213, 457, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 213, 457, 936 is 1.

Therefore, GCD of numbers 81, 213, 457, 936 is 1

Given Input Data is 81, 213, 457, 936

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 213 is 3 x 71

Prime Factorization of 457 is 457

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(81, 213) = 5751

GCD(81, 213) = ( 81 x 213 ) / 5751

GCD(81, 213) = 17253 / 5751

GCD(81, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 457

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

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

GCD(3, 457) = 1371 / 1371

GCD(3, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 81, 213, 457, 936 is 1

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• GCD of 89, 543, 987, 538
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• GCD of 90, 447, 962, 350

1. What is the GCD of 81, 213, 457, 936?

GCD of 81, 213, 457, 936 is 1

2. Where do I get the detailed procedure to find GCD of 81, 213, 457, 936?

You can find a detailed procedure to find GCD of 81, 213, 457, 936 on our page.

3. How to find GCD of 81, 213, 457, 936 on a calculator?

You can find the GCD of 81, 213, 457, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.