GCD of 810, 507, 14, 272 Calculator

Given Input numbers are 810, 507, 14, 272

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 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 810, 507, 14, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 507, 14, 272 is 1.

Therefore, GCD of numbers 810, 507, 14, 272 is 1

Given Input Data is 810, 507, 14, 272

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 507 is 3 x 13 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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, 507) = 136890

GCD(810, 507) = ( 810 x 507 ) / 136890

GCD(810, 507) = 410670 / 136890

GCD(810, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 810, 507, 14, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 193, 48, 259
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• GCD of 738, 793, 46, 333

1. What is the GCD of 810, 507, 14, 272?

GCD of 810, 507, 14, 272 is 1

2. Where do I get the detailed procedure to find GCD of 810, 507, 14, 272?

You can find a detailed procedure to find GCD of 810, 507, 14, 272 on our page.

3. How to find GCD of 810, 507, 14, 272 on a calculator?

You can find the GCD of 810, 507, 14, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.