GCD of 789, 769, 14, 786 Calculator

Given Input numbers are 789, 769, 14, 786

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 789, 769, 14, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 769, 14, 786 is 1.

Therefore, GCD of numbers 789, 769, 14, 786 is 1

Given Input Data is 789, 769, 14, 786

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 769 is 769

Prime Factorization of 14 is 2 x 7

Prime Factorization of 786 is 2 x 3 x 131

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, 769) = 606741

GCD(789, 769) = ( 789 x 769 ) / 606741

GCD(789, 769) = 606741 / 606741

GCD(789, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 789, 769, 14, 786 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 583, 64, 891
• GCD of 831, 544, 79, 495
• GCD of 447, 457, 20, 755
• GCD of 434, 816, 70, 582
• GCD of 576, 866, 76, 644

1. What is the GCD of 789, 769, 14, 786?

GCD of 789, 769, 14, 786 is 1

2. Where do I get the detailed procedure to find GCD of 789, 769, 14, 786?

You can find a detailed procedure to find GCD of 789, 769, 14, 786 on our page.

3. How to find GCD of 789, 769, 14, 786 on a calculator?

You can find the GCD of 789, 769, 14, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.