GCD of 584, 306, 601, 164 Calculator

Given Input numbers are 584, 306, 601, 164

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 584, 306, 601, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 306, 601, 164 is 1.

Therefore, GCD of numbers 584, 306, 601, 164 is 1

Given Input Data is 584, 306, 601, 164

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 601 is 601

Prime Factorization of 164 is 2 x 2 x 41

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(584, 306) = 89352

GCD(584, 306) = ( 584 x 306 ) / 89352

GCD(584, 306) = 178704 / 89352

GCD(584, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 584, 306, 601, 164 is 1

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1. What is the GCD of 584, 306, 601, 164?

GCD of 584, 306, 601, 164 is 1

2. Where do I get the detailed procedure to find GCD of 584, 306, 601, 164?

You can find a detailed procedure to find GCD of 584, 306, 601, 164 on our page.

3. How to find GCD of 584, 306, 601, 164 on a calculator?

You can find the GCD of 584, 306, 601, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.