GCD of 810, 292, 652, 309 Calculator

Given Input numbers are 810, 292, 652, 309

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 810, 292, 652, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 292, 652, 309 is 1.

Therefore, GCD of numbers 810, 292, 652, 309 is 1

Given Input Data is 810, 292, 652, 309

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 309 is 3 x 103

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(810, 292) = 118260

GCD(810, 292) = ( 810 x 292 ) / 118260

GCD(810, 292) = 236520 / 118260

GCD(810, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 810, 292, 652, 309 is 1

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1. What is the GCD of 810, 292, 652, 309?

GCD of 810, 292, 652, 309 is 1

2. Where do I get the detailed procedure to find GCD of 810, 292, 652, 309?

You can find a detailed procedure to find GCD of 810, 292, 652, 309 on our page.

3. How to find GCD of 810, 292, 652, 309 on a calculator?

You can find the GCD of 810, 292, 652, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.