GCD of 273, 405, 728, 778 Calculator

Given Input numbers are 273, 405, 728, 778

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 273, 405, 728, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 405, 728, 778 is 1.

Therefore, GCD of numbers 273, 405, 728, 778 is 1

Given Input Data is 273, 405, 728, 778

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 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 778 is 2 x 389

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, 405) = 36855

GCD(273, 405) = ( 273 x 405 ) / 36855

GCD(273, 405) = 110565 / 36855

GCD(273, 405) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 728

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

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

GCD(3, 728) = 2184 / 2184

GCD(3, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 273, 405, 728, 778 is 1

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1. What is the GCD of 273, 405, 728, 778?

GCD of 273, 405, 728, 778 is 1

2. Where do I get the detailed procedure to find GCD of 273, 405, 728, 778?

You can find a detailed procedure to find GCD of 273, 405, 728, 778 on our page.

3. How to find GCD of 273, 405, 728, 778 on a calculator?

You can find the GCD of 273, 405, 728, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.