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GCD of 284, 309, 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 284, 309, 728 quickly. Get the easiest ways to solve the greatest common divisor of 284, 309, 728 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 284, 309, 728 with Factoring?

Given Input numbers are 284, 309, 728

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 (284, 309, 728) = 1.

Find GCD of 284, 309, 728 using Prime Factorization

Given numbers are 284, 309, 728

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 309 are 3 x 103

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 284, 309, 728 using LCM Formula

Given numbers are 284, 309, 728

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

Apply this formula for all numbers.

Step1:

LCM(284, 309) = 87756

GCD(284, 309) = ( 284 x 309 ) / 87756

= 284 / 309

= 284


Step2:

LCM(1, 728) = 728

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

= 1 / 728

= 1


So, Greatest Common Divisor of 284, 309, 728 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 284, 309, 728

Given numbers are 284, 309, 728
The greatest common divisor of numbers 284, 309, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 309, 728 is 1.

FAQs on GCD of 284, 309, 728 Calculator

1. What is the GCD of 284, 309, 728?

GCD of given numbers 284, 309, 728 is 1


2. How to calculate the greatest common divisor of 284, 309, 728?

We can find the highest common divisor of 284, 309, 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 284, 309, 728 i.e 1.


3. How can I use the GCD of 284, 309, 728Calculator?

Out the numbers 284, 309, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.