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GCD of 856, 398, 723, 793 Calculator

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


Online GCD Calculator is useful to find the GCD of 856, 398, 723, 793 quickly. Get the easiest ways to solve the greatest common divisor of 856, 398, 723, 793 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 856, 398, 723, 793 with Factoring?

Given Input numbers are 856, 398, 723, 793

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793


GCD of numbers is the greatest common divisor

So, the GCD (856, 398, 723, 793) = 1.

Find GCD of 856, 398, 723, 793 using Prime Factorization

Given numbers are 856, 398, 723, 793

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 398 are 2 x 199

Prime factors of 723 are 3 x 241

Prime factors of 793 are 13 x 61

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

Steps to Calculate GCD of 856, 398, 723, 793 using LCM Formula

Given numbers are 856, 398, 723, 793

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

Apply this formula for all numbers.

Step1:

LCM(856, 398) = 170344

GCD(856, 398) = ( 856 x 398 ) / 170344

= 856 / 398

= 856


Step2:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2


Step3:

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

= 1 / 793

= 1


So, Greatest Common Divisor of 856, 398, 723, 793 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 398, 723, 793

Given numbers are 856, 398, 723, 793
The greatest common divisor of numbers 856, 398, 723, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 398, 723, 793 is 1.

FAQs on GCD of 856, 398, 723, 793 Calculator

1. What is the GCD of 856, 398, 723, 793?

GCD of given numbers 856, 398, 723, 793 is 1


2. How to calculate the greatest common divisor of 856, 398, 723, 793?

We can find the highest common divisor of 856, 398, 723, 793 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 856, 398, 723, 793 i.e 1.


3. How can I use the GCD of 856, 398, 723, 793Calculator?

Out the numbers 856, 398, 723, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.