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GCD of 321, 311, 717, 728 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 321, 311, 717, 728 quickly. Get the easiest ways to solve the greatest common divisor of 321, 311, 717, 728 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 321, 311, 717, 728 with Factoring?

Given Input numbers are 321, 311, 717, 728

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

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


GCD of numbers is the greatest common divisor

So, the GCD (321, 311, 717, 728) = 1.

Find GCD of 321, 311, 717, 728 using Prime Factorization

Given numbers are 321, 311, 717, 728

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 311 are 311

Prime factors of 717 are 3 x 239

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

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

Steps to Calculate GCD of 321, 311, 717, 728 using LCM Formula

Given numbers are 321, 311, 717, 728

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

Apply this formula for all numbers.

Step1:

LCM(321, 311) = 99831

GCD(321, 311) = ( 321 x 311 ) / 99831

= 321 / 311

= 321


Step2:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1


Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1


So, Greatest Common Divisor of 321, 311, 717, 728 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 321, 311, 717, 728

Given numbers are 321, 311, 717, 728
The greatest common divisor of numbers 321, 311, 717, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 311, 717, 728 is 1.

FAQs on GCD of 321, 311, 717, 728 Calculator

1. What is the GCD of 321, 311, 717, 728?

GCD of given numbers 321, 311, 717, 728 is 1


2. How to calculate the greatest common divisor of 321, 311, 717, 728?

We can find the highest common divisor of 321, 311, 717, 728 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 321, 311, 717, 728 i.e 1.


3. How can I use the GCD of 321, 311, 717, 728Calculator?

Out the numbers 321, 311, 717, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.