GCD of 789, 112, 45, 834 Calculator

Given Input numbers are 789, 112, 45, 834

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 789, 112, 45, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 112, 45, 834 is 1.

Therefore, GCD of numbers 789, 112, 45, 834 is 1

Given Input Data is 789, 112, 45, 834

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 834 is 2 x 3 x 139

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, 112) = 88368

GCD(789, 112) = ( 789 x 112 ) / 88368

GCD(789, 112) = 88368 / 88368

GCD(789, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 789, 112, 45, 834 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 102, 71, 713
• GCD of 481, 634, 34, 311
• GCD of 208, 298, 69, 247
• GCD of 659, 808, 28, 238
• GCD of 760, 612, 13, 843

1. What is the GCD of 789, 112, 45, 834?

GCD of 789, 112, 45, 834 is 1

2. Where do I get the detailed procedure to find GCD of 789, 112, 45, 834?

You can find a detailed procedure to find GCD of 789, 112, 45, 834 on our page.

3. How to find GCD of 789, 112, 45, 834 on a calculator?

You can find the GCD of 789, 112, 45, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.