GCD of 789, 153, 770 Calculator

Given Input numbers are 789, 153, 770

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 789, 153, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 153, 770 is 1.

Therefore, GCD of numbers 789, 153, 770 is 1

Given Input Data is 789, 153, 770

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 153) = 40239

GCD(789, 153) = ( 789 x 153 ) / 40239

GCD(789, 153) = 120717 / 40239

GCD(789, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 770

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

LCM(3, 770) = 2310

GCD(3, 770) = ( 3 x 770 ) / 2310

GCD(3, 770) = 2310 / 2310

GCD(3, 770) = 1

GCD of 789, 153, 770 is 1

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1. What is the GCD of 789, 153, 770?

GCD of 789, 153, 770 is 1

2. Where do I get the detailed procedure to find GCD of 789, 153, 770?

You can find a detailed procedure to find GCD of 789, 153, 770 on our page.

3. How to find GCD of 789, 153, 770 on a calculator?

You can find the GCD of 789, 153, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.