GCD of 601, 258, 478, 728 Calculator

Given Input numbers are 601, 258, 478, 728

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

Divisors of 601

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

1, 601

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 601, 258, 478, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 258, 478, 728 is 1.

Therefore, GCD of numbers 601, 258, 478, 728 is 1

Given Input Data is 601, 258, 478, 728

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

Prime Factorization of 601 is 601

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 478 is 2 x 239

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(601, 258) = 155058

GCD(601, 258) = ( 601 x 258 ) / 155058

GCD(601, 258) = 155058 / 155058

GCD(601, 258) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 601, 258, 478, 728 is 1

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1. What is the GCD of 601, 258, 478, 728?

GCD of 601, 258, 478, 728 is 1

2. Where do I get the detailed procedure to find GCD of 601, 258, 478, 728?

You can find a detailed procedure to find GCD of 601, 258, 478, 728 on our page.

3. How to find GCD of 601, 258, 478, 728 on a calculator?

You can find the GCD of 601, 258, 478, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.