GCD of 309, 732, 764 Calculator

Given Input numbers are 309, 732, 764

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 764

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

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 309, 732, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 732, 764 is 1.

Therefore, GCD of numbers 309, 732, 764 is 1

Given Input Data is 309, 732, 764

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 764 is 2 x 2 x 191

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(309, 732) = 75396

GCD(309, 732) = ( 309 x 732 ) / 75396

GCD(309, 732) = 226188 / 75396

GCD(309, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 764

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

LCM(3, 764) = 2292

GCD(3, 764) = ( 3 x 764 ) / 2292

GCD(3, 764) = 2292 / 2292

GCD(3, 764) = 1

GCD of 309, 732, 764 is 1

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1. What is the GCD of 309, 732, 764?

GCD of 309, 732, 764 is 1

2. Where do I get the detailed procedure to find GCD of 309, 732, 764?

You can find a detailed procedure to find GCD of 309, 732, 764 on our page.

3. How to find GCD of 309, 732, 764 on a calculator?

You can find the GCD of 309, 732, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.