GCD of 363, 973, 108, 697 Calculator

Given Input numbers are 363, 973, 108, 697

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

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 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 363, 973, 108, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 973, 108, 697 is 1.

Therefore, GCD of numbers 363, 973, 108, 697 is 1

Given Input Data is 363, 973, 108, 697

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 973 is 7 x 139

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(363, 973) = 353199

GCD(363, 973) = ( 363 x 973 ) / 353199

GCD(363, 973) = 353199 / 353199

GCD(363, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 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 363, 973, 108, 697 is 1

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1. What is the GCD of 363, 973, 108, 697?

GCD of 363, 973, 108, 697 is 1

2. Where do I get the detailed procedure to find GCD of 363, 973, 108, 697?

You can find a detailed procedure to find GCD of 363, 973, 108, 697 on our page.

3. How to find GCD of 363, 973, 108, 697 on a calculator?

You can find the GCD of 363, 973, 108, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.