GCD of 814, 810, 267, 333 Calculator

Given Input numbers are 814, 810, 267, 333

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 814, 810, 267, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 810, 267, 333 is 1.

Therefore, GCD of numbers 814, 810, 267, 333 is 1

Given Input Data is 814, 810, 267, 333

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

Prime Factorization of 814 is 2 x 11 x 37

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 333 is 3 x 3 x 37

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(814, 810) = 329670

GCD(814, 810) = ( 814 x 810 ) / 329670

GCD(814, 810) = 659340 / 329670

GCD(814, 810) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 814, 810, 267, 333 is 1

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• GCD of 681, 992, 374, 234
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1. What is the GCD of 814, 810, 267, 333?

GCD of 814, 810, 267, 333 is 1

2. Where do I get the detailed procedure to find GCD of 814, 810, 267, 333?

You can find a detailed procedure to find GCD of 814, 810, 267, 333 on our page.

3. How to find GCD of 814, 810, 267, 333 on a calculator?

You can find the GCD of 814, 810, 267, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.