GCD of 594, 438, 71, 345 Calculator

Given Input numbers are 594, 438, 71, 345

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

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 594, 438, 71, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 438, 71, 345 is 1.

Therefore, GCD of numbers 594, 438, 71, 345 is 1

Given Input Data is 594, 438, 71, 345

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

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 71 is 71

Prime Factorization of 345 is 3 x 5 x 23

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(594, 438) = 43362

GCD(594, 438) = ( 594 x 438 ) / 43362

GCD(594, 438) = 260172 / 43362

GCD(594, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 71

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

LCM(6, 71) = 426

GCD(6, 71) = ( 6 x 71 ) / 426

GCD(6, 71) = 426 / 426

GCD(6, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 594, 438, 71, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 646, 69, 835
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1. What is the GCD of 594, 438, 71, 345?

GCD of 594, 438, 71, 345 is 1

2. Where do I get the detailed procedure to find GCD of 594, 438, 71, 345?

You can find a detailed procedure to find GCD of 594, 438, 71, 345 on our page.

3. How to find GCD of 594, 438, 71, 345 on a calculator?

You can find the GCD of 594, 438, 71, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.