GCD of 164, 423, 30, 894 Calculator

Given Input numbers are 164, 423, 30, 894

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 164, 423, 30, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 423, 30, 894 is 1.

Therefore, GCD of numbers 164, 423, 30, 894 is 1

Given Input Data is 164, 423, 30, 894

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 894 is 2 x 3 x 149

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(164, 423) = 69372

GCD(164, 423) = ( 164 x 423 ) / 69372

GCD(164, 423) = 69372 / 69372

GCD(164, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 164, 423, 30, 894 is 1

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1. What is the GCD of 164, 423, 30, 894?

GCD of 164, 423, 30, 894 is 1

2. Where do I get the detailed procedure to find GCD of 164, 423, 30, 894?

You can find a detailed procedure to find GCD of 164, 423, 30, 894 on our page.

3. How to find GCD of 164, 423, 30, 894 on a calculator?

You can find the GCD of 164, 423, 30, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.