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GCD of 805, 724, 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 805, 724, 842 quickly. Get the easiest ways to solve the greatest common divisor of 805, 724, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 805, 724, 842 with Factoring?

Given Input numbers are 805, 724, 842

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

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (805, 724, 842) = 1.

Find GCD of 805, 724, 842 using Prime Factorization

Given numbers are 805, 724, 842

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

Prime factors of 724 are 2 x 2 x 181

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 805, 724, 842 using LCM Formula

Given numbers are 805, 724, 842

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

Apply this formula for all numbers.

Step1:

LCM(805, 724) = 582820

GCD(805, 724) = ( 805 x 724 ) / 582820

= 805 / 724

= 805


Step2:

LCM(1, 842) = 842

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

= 1 / 842

= 1


So, Greatest Common Divisor of 805, 724, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 805, 724, 842

Given numbers are 805, 724, 842
The greatest common divisor of numbers 805, 724, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 724, 842 is 1.

FAQs on GCD of 805, 724, 842 Calculator

1. What is the GCD of 805, 724, 842?

GCD of given numbers 805, 724, 842 is 1


2. How to calculate the greatest common divisor of 805, 724, 842?

We can find the highest common divisor of 805, 724, 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 805, 724, 842 i.e 1.


3. How can I use the GCD of 805, 724, 842Calculator?

Out the numbers 805, 724, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.