GCD of 693, 738, 826, 923 Calculator

Given Input numbers are 693, 738, 826, 923

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 693, 738, 826, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 738, 826, 923 is 1.

Therefore, GCD of numbers 693, 738, 826, 923 is 1

Given Input Data is 693, 738, 826, 923

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 923 is 13 x 71

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(693, 738) = 56826

GCD(693, 738) = ( 693 x 738 ) / 56826

GCD(693, 738) = 511434 / 56826

GCD(693, 738) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 826

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

LCM(9, 826) = 7434

GCD(9, 826) = ( 9 x 826 ) / 7434

GCD(9, 826) = 7434 / 7434

GCD(9, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 693, 738, 826, 923 is 1

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1. What is the GCD of 693, 738, 826, 923?

GCD of 693, 738, 826, 923 is 1

2. Where do I get the detailed procedure to find GCD of 693, 738, 826, 923?

You can find a detailed procedure to find GCD of 693, 738, 826, 923 on our page.

3. How to find GCD of 693, 738, 826, 923 on a calculator?

You can find the GCD of 693, 738, 826, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.