GCD of 209, 264, 764, 812 Calculator

Given Input numbers are 209, 264, 764, 812

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 209, 264, 764, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 264, 764, 812 is 1.

Therefore, GCD of numbers 209, 264, 764, 812 is 1

Given Input Data is 209, 264, 764, 812

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(209, 264) = 5016

GCD(209, 264) = ( 209 x 264 ) / 5016

GCD(209, 264) = 55176 / 5016

GCD(209, 264) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 764

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

LCM(11, 764) = 8404

GCD(11, 764) = ( 11 x 764 ) / 8404

GCD(11, 764) = 8404 / 8404

GCD(11, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 209, 264, 764, 812 is 1

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1. What is the GCD of 209, 264, 764, 812?

GCD of 209, 264, 764, 812 is 1

2. Where do I get the detailed procedure to find GCD of 209, 264, 764, 812?

You can find a detailed procedure to find GCD of 209, 264, 764, 812 on our page.

3. How to find GCD of 209, 264, 764, 812 on a calculator?

You can find the GCD of 209, 264, 764, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.