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GCD of 823, 314, 842, 393 Calculator

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


Online GCD Calculator is useful to find the GCD of 823, 314, 842, 393 quickly. Get the easiest ways to solve the greatest common divisor of 823, 314, 842, 393 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 823, 314, 842, 393 with Factoring?

Given Input numbers are 823, 314, 842, 393

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 842 :

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

1, 2, 421, 842

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393


GCD of numbers is the greatest common divisor

So, the GCD (823, 314, 842, 393) = 1.

Find GCD of 823, 314, 842, 393 using Prime Factorization

Given numbers are 823, 314, 842, 393

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 314 are 2 x 157

Prime factors of 842 are 2 x 421

Prime factors of 393 are 3 x 131

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

Steps to Calculate GCD of 823, 314, 842, 393 using LCM Formula

Given numbers are 823, 314, 842, 393

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

Apply this formula for all numbers.

Step1:

LCM(823, 314) = 258422

GCD(823, 314) = ( 823 x 314 ) / 258422

= 823 / 314

= 823


Step2:

LCM(1, 842) = 842

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

= 1 / 842

= 1


Step3:

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

= 1 / 393

= 1


So, Greatest Common Divisor of 823, 314, 842, 393 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 823, 314, 842, 393

Given numbers are 823, 314, 842, 393
The greatest common divisor of numbers 823, 314, 842, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 314, 842, 393 is 1.

FAQs on GCD of 823, 314, 842, 393 Calculator

1. What is the GCD of 823, 314, 842, 393?

GCD of given numbers 823, 314, 842, 393 is 1


2. How to calculate the greatest common divisor of 823, 314, 842, 393?

We can find the highest common divisor of 823, 314, 842, 393 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 823, 314, 842, 393 i.e 1.


3. How can I use the GCD of 823, 314, 842, 393Calculator?

Out the numbers 823, 314, 842, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.