GCD of 44, 825, 363, 697 Calculator

Given Input numbers are 44, 825, 363, 697

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 363

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

1, 3, 11, 33, 121, 363

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 44, 825, 363, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 825, 363, 697 is 1.

Therefore, GCD of numbers 44, 825, 363, 697 is 1

Given Input Data is 44, 825, 363, 697

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 363 is 3 x 11 x 11

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(44, 825) = 3300

GCD(44, 825) = ( 44 x 825 ) / 3300

GCD(44, 825) = 36300 / 3300

GCD(44, 825) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 363

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

LCM(11, 363) = 363

GCD(11, 363) = ( 11 x 363 ) / 363

GCD(11, 363) = 3993 / 363

GCD(11, 363) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 697

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

LCM(11, 697) = 7667

GCD(11, 697) = ( 11 x 697 ) / 7667

GCD(11, 697) = 7667 / 7667

GCD(11, 697) = 1

GCD of 44, 825, 363, 697 is 1

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1. What is the GCD of 44, 825, 363, 697?

GCD of 44, 825, 363, 697 is 1

2. Where do I get the detailed procedure to find GCD of 44, 825, 363, 697?

You can find a detailed procedure to find GCD of 44, 825, 363, 697 on our page.

3. How to find GCD of 44, 825, 363, 697 on a calculator?

You can find the GCD of 44, 825, 363, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.