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GCD of 243, 813, 951, 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 243, 813, 951, 726 quickly. Get the easiest ways to solve the greatest common divisor of 243, 813, 951, 726 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 243, 813, 951, 726 with Factoring?

Given Input numbers are 243, 813, 951, 726

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

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 (243, 813, 951, 726) = 3.

Find GCD of 243, 813, 951, 726 using Prime Factorization

Given numbers are 243, 813, 951, 726

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 813 are 3 x 271

Prime factors of 951 are 3 x 317

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

The highest common occurrence is 31

Therefore, GCD of 243, 813, 951, 726 is 3.

Steps to Calculate GCD of 243, 813, 951, 726 using LCM Formula

Given numbers are 243, 813, 951, 726

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

Apply this formula for all numbers.

Step1:

LCM(243, 813) = 65853

GCD(243, 813) = ( 243 x 813 ) / 65853

= 243 / 813

= 243


Step2:

LCM(3, 951) = 951

GCD(3, 951) = ( 3 x 951 ) / 951

= 3 / 951

= 3


Step3:

LCM(3, 726) = 726

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

= 3 / 726

= 3


So, Greatest Common Divisor of 243, 813, 951, 726 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 243, 813, 951, 726

Given numbers are 243, 813, 951, 726
The greatest common divisor of numbers 243, 813, 951, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 813, 951, 726 is 3.

FAQs on GCD of 243, 813, 951, 726 Calculator

1. What is the GCD of 243, 813, 951, 726?

GCD of given numbers 243, 813, 951, 726 is 3


2. How to calculate the greatest common divisor of 243, 813, 951, 726?

We can find the highest common divisor of 243, 813, 951, 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 243, 813, 951, 726 i.e 3.


3. How can I use the GCD of 243, 813, 951, 726Calculator?

Out the numbers 243, 813, 951, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.