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GCD of 843, 798, 561 Calculator

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


Online GCD Calculator is useful to find the GCD of 843, 798, 561 quickly. Get the easiest ways to solve the greatest common divisor of 843, 798, 561 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 843, 798, 561 with Factoring?

Given Input numbers are 843, 798, 561

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

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561


GCD of numbers is the greatest common divisor

So, the GCD (843, 798, 561) = 3.

Find GCD of 843, 798, 561 using Prime Factorization

Given numbers are 843, 798, 561

The list of prime factors of all numbers are

Prime factors of 843 are 3 x 281

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 31

Therefore, GCD of 843, 798, 561 is 3.

Steps to Calculate GCD of 843, 798, 561 using LCM Formula

Given numbers are 843, 798, 561

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

Apply this formula for all numbers.

Step1:

LCM(843, 798) = 224238

GCD(843, 798) = ( 843 x 798 ) / 224238

= 843 / 798

= 843


Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3


So, Greatest Common Divisor of 843, 798, 561 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 843, 798, 561

Given numbers are 843, 798, 561
The greatest common divisor of numbers 843, 798, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 843, 798, 561 is 3.

FAQs on GCD of 843, 798, 561 Calculator

1. What is the GCD of 843, 798, 561?

GCD of given numbers 843, 798, 561 is 3


2. How to calculate the greatest common divisor of 843, 798, 561?

We can find the highest common divisor of 843, 798, 561 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 843, 798, 561 i.e 3.


3. How can I use the GCD of 843, 798, 561Calculator?

Out the numbers 843, 798, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.