LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 873, 408, 726 Calculator

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


Online GCD Calculator is useful to find the GCD of 873, 408, 726 quickly. Get the easiest ways to solve the greatest common divisor of 873, 408, 726 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 873, 408, 726 with Factoring?

Given Input numbers are 873, 408, 726

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726


GCD of numbers is the greatest common divisor

So, the GCD (873, 408, 726) = 3.

Find GCD of 873, 408, 726 using Prime Factorization

Given numbers are 873, 408, 726

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 31

Therefore, GCD of 873, 408, 726 is 3.

Steps to Calculate GCD of 873, 408, 726 using LCM Formula

Given numbers are 873, 408, 726

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

Apply this formula for all numbers.

Step1:

LCM(873, 408) = 118728

GCD(873, 408) = ( 873 x 408 ) / 118728

= 873 / 408

= 873


Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3


So, Greatest Common Divisor of 873, 408, 726 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 873, 408, 726

Given numbers are 873, 408, 726
The greatest common divisor of numbers 873, 408, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 408, 726 is 3.

FAQs on GCD of 873, 408, 726 Calculator

1. What is the GCD of 873, 408, 726?

GCD of given numbers 873, 408, 726 is 3


2. How to calculate the greatest common divisor of 873, 408, 726?

We can find the highest common divisor of 873, 408, 726 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 873, 408, 726 i.e 3.


3. How can I use the GCD of 873, 408, 726Calculator?

Out the numbers 873, 408, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.