GCD of 81, 108, 643, 697 Calculator

Given Input numbers are 81, 108, 643, 697

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 81, 108, 643, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 108, 643, 697 is 1.

Therefore, GCD of numbers 81, 108, 643, 697 is 1

Given Input Data is 81, 108, 643, 697

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 643 is 643

Prime Factorization of 697 is 17 x 41

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, 108) = 324

GCD(81, 108) = ( 81 x 108 ) / 324

GCD(81, 108) = 8748 / 324

GCD(81, 108) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 643

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

LCM(27, 643) = 17361

GCD(27, 643) = ( 27 x 643 ) / 17361

GCD(27, 643) = 17361 / 17361

GCD(27, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 81, 108, 643, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 586, 841, 555
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• GCD of 88, 105, 405, 133
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• GCD of 36, 826, 631, 663

1. What is the GCD of 81, 108, 643, 697?

GCD of 81, 108, 643, 697 is 1

2. Where do I get the detailed procedure to find GCD of 81, 108, 643, 697?

You can find a detailed procedure to find GCD of 81, 108, 643, 697 on our page.

3. How to find GCD of 81, 108, 643, 697 on a calculator?

You can find the GCD of 81, 108, 643, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.