GCD of 789, 538, 785 Calculator

Given Input numbers are 789, 538, 785

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 789, 538, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 538, 785 is 1.

Therefore, GCD of numbers 789, 538, 785 is 1

Given Input Data is 789, 538, 785

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 538 is 2 x 269

Prime Factorization of 785 is 5 x 157

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, 538) = 424482

GCD(789, 538) = ( 789 x 538 ) / 424482

GCD(789, 538) = 424482 / 424482

GCD(789, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 789, 538, 785 is 1

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1. What is the GCD of 789, 538, 785?

GCD of 789, 538, 785 is 1

2. Where do I get the detailed procedure to find GCD of 789, 538, 785?

You can find a detailed procedure to find GCD of 789, 538, 785 on our page.

3. How to find GCD of 789, 538, 785 on a calculator?

You can find the GCD of 789, 538, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.