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GCD of 809, 817, 338, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 809, 817, 338, 842 quickly. Get the easiest ways to solve the greatest common divisor of 809, 817, 338, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 809, 817, 338, 842 with Factoring?

Given Input numbers are 809, 817, 338, 842

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

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (809, 817, 338, 842) = 1.

Find GCD of 809, 817, 338, 842 using Prime Factorization

Given numbers are 809, 817, 338, 842

The list of prime factors of all numbers are

Prime factors of 809 are 809

Prime factors of 817 are 19 x 43

Prime factors of 338 are 2 x 13 x 13

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 809, 817, 338, 842 using LCM Formula

Given numbers are 809, 817, 338, 842

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

Apply this formula for all numbers.

Step1:

LCM(809, 817) = 660953

GCD(809, 817) = ( 809 x 817 ) / 660953

= 809 / 817

= 809


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 809, 817, 338, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 809, 817, 338, 842

Given numbers are 809, 817, 338, 842
The greatest common divisor of numbers 809, 817, 338, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 809, 817, 338, 842 is 1.

FAQs on GCD of 809, 817, 338, 842 Calculator

1. What is the GCD of 809, 817, 338, 842?

GCD of given numbers 809, 817, 338, 842 is 1


2. How to calculate the greatest common divisor of 809, 817, 338, 842?

We can find the highest common divisor of 809, 817, 338, 842 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 809, 817, 338, 842 i.e 1.


3. How can I use the GCD of 809, 817, 338, 842Calculator?

Out the numbers 809, 817, 338, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.