LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 816, 192, 359, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 192, 359, 438 quickly. Get the easiest ways to solve the greatest common divisor of 816, 192, 359, 438 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 192, 359, 438 with Factoring?

Given Input numbers are 816, 192, 359, 438

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438


GCD of numbers is the greatest common divisor

So, the GCD (816, 192, 359, 438) = 1.

Find GCD of 816, 192, 359, 438 using Prime Factorization

Given numbers are 816, 192, 359, 438

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 359 are 359

Prime factors of 438 are 2 x 3 x 73

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

Steps to Calculate GCD of 816, 192, 359, 438 using LCM Formula

Given numbers are 816, 192, 359, 438

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

Apply this formula for all numbers.

Step1:

LCM(816, 192) = 3264

GCD(816, 192) = ( 816 x 192 ) / 3264

= 816 / 192

= 816


Step2:

LCM(48, 359) = 17232

GCD(48, 359) = ( 48 x 359 ) / 17232

= 48 / 359

= 48


Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


So, Greatest Common Divisor of 816, 192, 359, 438 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 192, 359, 438

Given numbers are 816, 192, 359, 438
The greatest common divisor of numbers 816, 192, 359, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 192, 359, 438 is 1.

FAQs on GCD of 816, 192, 359, 438 Calculator

1. What is the GCD of 816, 192, 359, 438?

GCD of given numbers 816, 192, 359, 438 is 1


2. How to calculate the greatest common divisor of 816, 192, 359, 438?

We can find the highest common divisor of 816, 192, 359, 438 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 816, 192, 359, 438 i.e 1.


3. How can I use the GCD of 816, 192, 359, 438Calculator?

Out the numbers 816, 192, 359, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.