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GCD of 729, 355, 122, 556 Calculator

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


Online GCD Calculator is useful to find the GCD of 729, 355, 122, 556 quickly. Get the easiest ways to solve the greatest common divisor of 729, 355, 122, 556 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 729, 355, 122, 556 with Factoring?

Given Input numbers are 729, 355, 122, 556

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556


GCD of numbers is the greatest common divisor

So, the GCD (729, 355, 122, 556) = 1.

Find GCD of 729, 355, 122, 556 using Prime Factorization

Given numbers are 729, 355, 122, 556

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 355 are 5 x 71

Prime factors of 122 are 2 x 61

Prime factors of 556 are 2 x 2 x 139

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

Steps to Calculate GCD of 729, 355, 122, 556 using LCM Formula

Given numbers are 729, 355, 122, 556

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

Apply this formula for all numbers.

Step1:

LCM(729, 355) = 258795

GCD(729, 355) = ( 729 x 355 ) / 258795

= 729 / 355

= 729


Step2:

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

= 1 / 122

= 1


Step3:

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

= 1 / 556

= 1


So, Greatest Common Divisor of 729, 355, 122, 556 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 729, 355, 122, 556

Given numbers are 729, 355, 122, 556
The greatest common divisor of numbers 729, 355, 122, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 355, 122, 556 is 1.

FAQs on GCD of 729, 355, 122, 556 Calculator

1. What is the GCD of 729, 355, 122, 556?

GCD of given numbers 729, 355, 122, 556 is 1


2. How to calculate the greatest common divisor of 729, 355, 122, 556?

We can find the highest common divisor of 729, 355, 122, 556 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 729, 355, 122, 556 i.e 1.


3. How can I use the GCD of 729, 355, 122, 556Calculator?

Out the numbers 729, 355, 122, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.