GCD of 495, 996, 442, 273 Calculator

Given Input numbers are 495, 996, 442, 273

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 273

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

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

Greatest Common Divisior

We found the divisors of 495, 996, 442, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 996, 442, 273 is 1.

Therefore, GCD of numbers 495, 996, 442, 273 is 1

Given Input Data is 495, 996, 442, 273

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 273 is 3 x 7 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(495, 996) = 164340

GCD(495, 996) = ( 495 x 996 ) / 164340

GCD(495, 996) = 493020 / 164340

GCD(495, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 442

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

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

GCD(3, 442) = 1326 / 1326

GCD(3, 442) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 495, 996, 442, 273 is 1

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• GCD of 104, 145, 904, 342
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• GCD of 463, 896, 527, 783

1. What is the GCD of 495, 996, 442, 273?

GCD of 495, 996, 442, 273 is 1

2. Where do I get the detailed procedure to find GCD of 495, 996, 442, 273?

You can find a detailed procedure to find GCD of 495, 996, 442, 273 on our page.

3. How to find GCD of 495, 996, 442, 273 on a calculator?

You can find the GCD of 495, 996, 442, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.