GCD of 789, 771, 504, 391 Calculator

Given Input numbers are 789, 771, 504, 391

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 789, 771, 504, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 771, 504, 391 is 1.

Therefore, GCD of numbers 789, 771, 504, 391 is 1

Given Input Data is 789, 771, 504, 391

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 771 is 3 x 257

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 391 is 17 x 23

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, 771) = 202773

GCD(789, 771) = ( 789 x 771 ) / 202773

GCD(789, 771) = 608319 / 202773

GCD(789, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 504

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

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

GCD(3, 504) = 1512 / 504

GCD(3, 504) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 391

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

LCM(3, 391) = 1173

GCD(3, 391) = ( 3 x 391 ) / 1173

GCD(3, 391) = 1173 / 1173

GCD(3, 391) = 1

GCD of 789, 771, 504, 391 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 269, 855, 773
• GCD of 952, 956, 684, 295
• GCD of 604, 913, 220, 378
• GCD of 966, 681, 435, 774
• GCD of 113, 174, 843, 331

1. What is the GCD of 789, 771, 504, 391?

GCD of 789, 771, 504, 391 is 1

2. Where do I get the detailed procedure to find GCD of 789, 771, 504, 391?

You can find a detailed procedure to find GCD of 789, 771, 504, 391 on our page.

3. How to find GCD of 789, 771, 504, 391 on a calculator?

You can find the GCD of 789, 771, 504, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.