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GCD of 819, 216, 173, 442 Calculator

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


Online GCD Calculator is useful to find the GCD of 819, 216, 173, 442 quickly. Get the easiest ways to solve the greatest common divisor of 819, 216, 173, 442 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 819, 216, 173, 442 with Factoring?

Given Input numbers are 819, 216, 173, 442

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

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (819, 216, 173, 442) = 1.

Find GCD of 819, 216, 173, 442 using Prime Factorization

Given numbers are 819, 216, 173, 442

The list of prime factors of all numbers are

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 173 are 173

Prime factors of 442 are 2 x 13 x 17

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

Steps to Calculate GCD of 819, 216, 173, 442 using LCM Formula

Given numbers are 819, 216, 173, 442

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

Apply this formula for all numbers.

Step1:

LCM(819, 216) = 19656

GCD(819, 216) = ( 819 x 216 ) / 19656

= 819 / 216

= 819


Step2:

LCM(9, 173) = 1557

GCD(9, 173) = ( 9 x 173 ) / 1557

= 9 / 173

= 9


Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1


So, Greatest Common Divisor of 819, 216, 173, 442 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 819, 216, 173, 442

Given numbers are 819, 216, 173, 442
The greatest common divisor of numbers 819, 216, 173, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 216, 173, 442 is 1.

FAQs on GCD of 819, 216, 173, 442 Calculator

1. What is the GCD of 819, 216, 173, 442?

GCD of given numbers 819, 216, 173, 442 is 1


2. How to calculate the greatest common divisor of 819, 216, 173, 442?

We can find the highest common divisor of 819, 216, 173, 442 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 819, 216, 173, 442 i.e 1.


3. How can I use the GCD of 819, 216, 173, 442Calculator?

Out the numbers 819, 216, 173, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.