GCD of 764, 825, 284 Calculator

Given Input numbers are 764, 825, 284

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 764, 825, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 825, 284 is 1.

Therefore, GCD of numbers 764, 825, 284 is 1

Given Input Data is 764, 825, 284

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 284 is 2 x 2 x 71

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(764, 825) = 630300

GCD(764, 825) = ( 764 x 825 ) / 630300

GCD(764, 825) = 630300 / 630300

GCD(764, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 764, 825, 284 is 1

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1. What is the GCD of 764, 825, 284?

GCD of 764, 825, 284 is 1

2. Where do I get the detailed procedure to find GCD of 764, 825, 284?

You can find a detailed procedure to find GCD of 764, 825, 284 on our page.

3. How to find GCD of 764, 825, 284 on a calculator?

You can find the GCD of 764, 825, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.