GCD of 789, 403, 38, 714 Calculator

Given Input numbers are 789, 403, 38, 714

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 38

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

1, 2, 19, 38

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 789, 403, 38, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 403, 38, 714 is 1.

Therefore, GCD of numbers 789, 403, 38, 714 is 1

Given Input Data is 789, 403, 38, 714

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 403 is 13 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(789, 403) = 317967

GCD(789, 403) = ( 789 x 403 ) / 317967

GCD(789, 403) = 317967 / 317967

GCD(789, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 789, 403, 38, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 271, 17, 689
• GCD of 399, 486, 59, 393
• GCD of 412, 266, 58, 177
• GCD of 164, 794, 14, 924
• GCD of 282, 378, 87, 939

1. What is the GCD of 789, 403, 38, 714?

GCD of 789, 403, 38, 714 is 1

2. Where do I get the detailed procedure to find GCD of 789, 403, 38, 714?

You can find a detailed procedure to find GCD of 789, 403, 38, 714 on our page.

3. How to find GCD of 789, 403, 38, 714 on a calculator?

You can find the GCD of 789, 403, 38, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.