GCD of 162, 694, 789 Calculator

Given Input numbers are 162, 694, 789

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 789

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

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 162, 694, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 694, 789 is 1.

Therefore, GCD of numbers 162, 694, 789 is 1

Given Input Data is 162, 694, 789

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 694 is 2 x 347

Prime Factorization of 789 is 3 x 263

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(162, 694) = 56214

GCD(162, 694) = ( 162 x 694 ) / 56214

GCD(162, 694) = 112428 / 56214

GCD(162, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 162, 694, 789 is 1

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1. What is the GCD of 162, 694, 789?

GCD of 162, 694, 789 is 1

2. Where do I get the detailed procedure to find GCD of 162, 694, 789?

You can find a detailed procedure to find GCD of 162, 694, 789 on our page.

3. How to find GCD of 162, 694, 789 on a calculator?

You can find the GCD of 162, 694, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.