GCD of 273, 574, 731, 353 Calculator

Given Input numbers are 273, 574, 731, 353

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 273, 574, 731, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 574, 731, 353 is 1.

Therefore, GCD of numbers 273, 574, 731, 353 is 1

Given Input Data is 273, 574, 731, 353

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 574 is 2 x 7 x 41

Prime Factorization of 731 is 17 x 43

Prime Factorization of 353 is 353

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, 574) = 22386

GCD(273, 574) = ( 273 x 574 ) / 22386

GCD(273, 574) = 156702 / 22386

GCD(273, 574) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 731

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

LCM(7, 731) = 5117

GCD(7, 731) = ( 7 x 731 ) / 5117

GCD(7, 731) = 5117 / 5117

GCD(7, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 273, 574, 731, 353 is 1

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1. What is the GCD of 273, 574, 731, 353?

GCD of 273, 574, 731, 353 is 1

2. Where do I get the detailed procedure to find GCD of 273, 574, 731, 353?

You can find a detailed procedure to find GCD of 273, 574, 731, 353 on our page.

3. How to find GCD of 273, 574, 731, 353 on a calculator?

You can find the GCD of 273, 574, 731, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.