GCD of 234, 186, 588, 353 Calculator

Given Input numbers are 234, 186, 588, 353

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 234, 186, 588, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 186, 588, 353 is 1.

Therefore, GCD of numbers 234, 186, 588, 353 is 1

Given Input Data is 234, 186, 588, 353

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(234, 186) = 7254

GCD(234, 186) = ( 234 x 186 ) / 7254

GCD(234, 186) = 43524 / 7254

GCD(234, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 588

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

LCM(6, 588) = 588

GCD(6, 588) = ( 6 x 588 ) / 588

GCD(6, 588) = 3528 / 588

GCD(6, 588) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 353

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

LCM(6, 353) = 2118

GCD(6, 353) = ( 6 x 353 ) / 2118

GCD(6, 353) = 2118 / 2118

GCD(6, 353) = 1

GCD of 234, 186, 588, 353 is 1

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1. What is the GCD of 234, 186, 588, 353?

GCD of 234, 186, 588, 353 is 1

2. Where do I get the detailed procedure to find GCD of 234, 186, 588, 353?

You can find a detailed procedure to find GCD of 234, 186, 588, 353 on our page.

3. How to find GCD of 234, 186, 588, 353 on a calculator?

You can find the GCD of 234, 186, 588, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.