GCD of 398, 401, 728, 589 Calculator

Given Input numbers are 398, 401, 728, 589

In the factoring method, we have to find the divisors of all numbers

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

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

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

GCD of numbers is the greatest common divisor

So, the GCD (398, 401, 728, 589) = 1.

Given numbers are 398, 401, 728, 589

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 401 are 401

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 589 are 19 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 398, 401, 728, 589

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(398, 401) = 159598

GCD(398, 401) = ( 398 x 401 ) / 159598

= 398 / 401

= 398

Step2:

LCM(1, 728) = 728

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

= 1 / 728

= 1

Step3:

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

= 1 / 589

= 1

So, Greatest Common Divisor of 398, 401, 728, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 989, 997, 799
• GCD of 589, 745, 423, 440
• GCD of 338, 557, 785, 769
• GCD of 986, 876, 992, 170
• GCD of 753, 873, 322, 398

Given numbers are 398, 401, 728, 589
The greatest common divisor of numbers 398, 401, 728, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 401, 728, 589 is 1.

1. What is the GCD of 398, 401, 728, 589?

GCD of given numbers 398, 401, 728, 589 is 1

2. How to calculate the greatest common divisor of 398, 401, 728, 589?

We can find the highest common divisor of 398, 401, 728, 589 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 398, 401, 728, 589 i.e 1.

3. How can I use the GCD of 398, 401, 728, 589Calculator?

Out the numbers 398, 401, 728, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.