GCD of 475, 789, 660 Calculator

Given Input numbers are 475, 789, 660

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 789

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

1, 3, 263, 789

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 475, 789, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 789, 660 is 1.

Therefore, GCD of numbers 475, 789, 660 is 1

Given Input Data is 475, 789, 660

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 789 is 3 x 263

Prime Factorization of 660 is 2 x 2 x 3 x 5 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(475, 789) = 374775

GCD(475, 789) = ( 475 x 789 ) / 374775

GCD(475, 789) = 374775 / 374775

GCD(475, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 475, 789, 660 is 1

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1. What is the GCD of 475, 789, 660?

GCD of 475, 789, 660 is 1

2. Where do I get the detailed procedure to find GCD of 475, 789, 660?

You can find a detailed procedure to find GCD of 475, 789, 660 on our page.

3. How to find GCD of 475, 789, 660 on a calculator?

You can find the GCD of 475, 789, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.