GCD of 789, 345, 860 Calculator

Given Input numbers are 789, 345, 860

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 789, 345, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 345, 860 is 1.

Therefore, GCD of numbers 789, 345, 860 is 1

Given Input Data is 789, 345, 860

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 860 is 2 x 2 x 5 x 43

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, 345) = 90735

GCD(789, 345) = ( 789 x 345 ) / 90735

GCD(789, 345) = 272205 / 90735

GCD(789, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 860

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

LCM(3, 860) = 2580

GCD(3, 860) = ( 3 x 860 ) / 2580

GCD(3, 860) = 2580 / 2580

GCD(3, 860) = 1

GCD of 789, 345, 860 is 1

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1. What is the GCD of 789, 345, 860?

GCD of 789, 345, 860 is 1

2. Where do I get the detailed procedure to find GCD of 789, 345, 860?

You can find a detailed procedure to find GCD of 789, 345, 860 on our page.

3. How to find GCD of 789, 345, 860 on a calculator?

You can find the GCD of 789, 345, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.