GCD of 798, 512, 273, 734 Calculator

Given Input numbers are 798, 512, 273, 734

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 798, 512, 273, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 512, 273, 734 is 1.

Therefore, GCD of numbers 798, 512, 273, 734 is 1

Given Input Data is 798, 512, 273, 734

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 734 is 2 x 367

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(798, 512) = 204288

GCD(798, 512) = ( 798 x 512 ) / 204288

GCD(798, 512) = 408576 / 204288

GCD(798, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 273

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

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

GCD(2, 273) = 546 / 546

GCD(2, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 798, 512, 273, 734 is 1

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1. What is the GCD of 798, 512, 273, 734?

GCD of 798, 512, 273, 734 is 1

2. Where do I get the detailed procedure to find GCD of 798, 512, 273, 734?

You can find a detailed procedure to find GCD of 798, 512, 273, 734 on our page.

3. How to find GCD of 798, 512, 273, 734 on a calculator?

You can find the GCD of 798, 512, 273, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.