GCD of 693, 345, 451, 796 Calculator

Given Input numbers are 693, 345, 451, 796

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 693, 345, 451, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 345, 451, 796 is 1.

Therefore, GCD of numbers 693, 345, 451, 796 is 1

Given Input Data is 693, 345, 451, 796

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 345 is 3 x 5 x 23

Prime Factorization of 451 is 11 x 41

Prime Factorization of 796 is 2 x 2 x 199

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, 345) = 79695

GCD(693, 345) = ( 693 x 345 ) / 79695

GCD(693, 345) = 239085 / 79695

GCD(693, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 451

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

LCM(3, 451) = 1353

GCD(3, 451) = ( 3 x 451 ) / 1353

GCD(3, 451) = 1353 / 1353

GCD(3, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 693, 345, 451, 796 is 1

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1. What is the GCD of 693, 345, 451, 796?

GCD of 693, 345, 451, 796 is 1

2. Where do I get the detailed procedure to find GCD of 693, 345, 451, 796?

You can find a detailed procedure to find GCD of 693, 345, 451, 796 on our page.

3. How to find GCD of 693, 345, 451, 796 on a calculator?

You can find the GCD of 693, 345, 451, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.