GCD of 594, 206, 421, 171 Calculator

Given Input numbers are 594, 206, 421, 171

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 594, 206, 421, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 206, 421, 171 is 1.

Therefore, GCD of numbers 594, 206, 421, 171 is 1

Given Input Data is 594, 206, 421, 171

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 206 is 2 x 103

Prime Factorization of 421 is 421

Prime Factorization of 171 is 3 x 3 x 19

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, 206) = 61182

GCD(594, 206) = ( 594 x 206 ) / 61182

GCD(594, 206) = 122364 / 61182

GCD(594, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 594, 206, 421, 171 is 1

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1. What is the GCD of 594, 206, 421, 171?

GCD of 594, 206, 421, 171 is 1

2. Where do I get the detailed procedure to find GCD of 594, 206, 421, 171?

You can find a detailed procedure to find GCD of 594, 206, 421, 171 on our page.

3. How to find GCD of 594, 206, 421, 171 on a calculator?

You can find the GCD of 594, 206, 421, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.