GCD of 238, 594, 723, 341 Calculator

Given Input numbers are 238, 594, 723, 341

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 238, 594, 723, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 594, 723, 341 is 1.

Therefore, GCD of numbers 238, 594, 723, 341 is 1

Given Input Data is 238, 594, 723, 341

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 723 is 3 x 241

Prime Factorization of 341 is 11 x 31

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(238, 594) = 70686

GCD(238, 594) = ( 238 x 594 ) / 70686

GCD(238, 594) = 141372 / 70686

GCD(238, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 238, 594, 723, 341 is 1

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1. What is the GCD of 238, 594, 723, 341?

GCD of 238, 594, 723, 341 is 1

2. Where do I get the detailed procedure to find GCD of 238, 594, 723, 341?

You can find a detailed procedure to find GCD of 238, 594, 723, 341 on our page.

3. How to find GCD of 238, 594, 723, 341 on a calculator?

You can find the GCD of 238, 594, 723, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.