GCD of 693, 721, 38, 854 Calculator

Given Input numbers are 693, 721, 38, 854

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 693, 721, 38, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 721, 38, 854 is 1.

Therefore, GCD of numbers 693, 721, 38, 854 is 1

Given Input Data is 693, 721, 38, 854

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 721 is 7 x 103

Prime Factorization of 38 is 2 x 19

Prime Factorization of 854 is 2 x 7 x 61

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, 721) = 71379

GCD(693, 721) = ( 693 x 721 ) / 71379

GCD(693, 721) = 499653 / 71379

GCD(693, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 38

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

LCM(7, 38) = 266

GCD(7, 38) = ( 7 x 38 ) / 266

GCD(7, 38) = 266 / 266

GCD(7, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 693, 721, 38, 854 is 1

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1. What is the GCD of 693, 721, 38, 854?

GCD of 693, 721, 38, 854 is 1

2. Where do I get the detailed procedure to find GCD of 693, 721, 38, 854?

You can find a detailed procedure to find GCD of 693, 721, 38, 854 on our page.

3. How to find GCD of 693, 721, 38, 854 on a calculator?

You can find the GCD of 693, 721, 38, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.