GCD of 273, 805, 16, 468 Calculator

Given Input numbers are 273, 805, 16, 468

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 273, 805, 16, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 805, 16, 468 is 1.

Therefore, GCD of numbers 273, 805, 16, 468 is 1

Given Input Data is 273, 805, 16, 468

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(273, 805) = 31395

GCD(273, 805) = ( 273 x 805 ) / 31395

GCD(273, 805) = 219765 / 31395

GCD(273, 805) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 16

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

LCM(7, 16) = 112

GCD(7, 16) = ( 7 x 16 ) / 112

GCD(7, 16) = 112 / 112

GCD(7, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 273, 805, 16, 468 is 1

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1. What is the GCD of 273, 805, 16, 468?

GCD of 273, 805, 16, 468 is 1

2. Where do I get the detailed procedure to find GCD of 273, 805, 16, 468?

You can find a detailed procedure to find GCD of 273, 805, 16, 468 on our page.

3. How to find GCD of 273, 805, 16, 468 on a calculator?

You can find the GCD of 273, 805, 16, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.