GCD of 406, 728, 59, 577 Calculator

Given Input numbers are 406, 728, 59, 577

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 406, 728, 59, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 728, 59, 577 is 1.

Therefore, GCD of numbers 406, 728, 59, 577 is 1

Given Input Data is 406, 728, 59, 577

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

Prime Factorization of 406 is 2 x 7 x 29

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

Prime Factorization of 59 is 59

Prime Factorization of 577 is 577

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(406, 728) = 21112

GCD(406, 728) = ( 406 x 728 ) / 21112

GCD(406, 728) = 295568 / 21112

GCD(406, 728) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 59

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

LCM(14, 59) = 826

GCD(14, 59) = ( 14 x 59 ) / 826

GCD(14, 59) = 826 / 826

GCD(14, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 406, 728, 59, 577 is 1

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• GCD of 520, 173, 75, 184
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1. What is the GCD of 406, 728, 59, 577?

GCD of 406, 728, 59, 577 is 1

2. Where do I get the detailed procedure to find GCD of 406, 728, 59, 577?

You can find a detailed procedure to find GCD of 406, 728, 59, 577 on our page.

3. How to find GCD of 406, 728, 59, 577 on a calculator?

You can find the GCD of 406, 728, 59, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.