GCD of 759, 772, 789 Calculator

Given Input numbers are 759, 772, 789

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 759, 772, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 772, 789 is 1.

Therefore, GCD of numbers 759, 772, 789 is 1

Given Input Data is 759, 772, 789

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 772 is 2 x 2 x 193

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(759, 772) = 585948

GCD(759, 772) = ( 759 x 772 ) / 585948

GCD(759, 772) = 585948 / 585948

GCD(759, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 759, 772, 789 is 1

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1. What is the GCD of 759, 772, 789?

GCD of 759, 772, 789 is 1

2. Where do I get the detailed procedure to find GCD of 759, 772, 789?

You can find a detailed procedure to find GCD of 759, 772, 789 on our page.

3. How to find GCD of 759, 772, 789 on a calculator?

You can find the GCD of 759, 772, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.