Where do I get the detailed procedure to find GCD of 726, 354, 807?

You can find a detailed procedure to find GCD of 726, 354, 807 on our page.

How to find GCD of 726, 354, 807 on a calculator?

You can find the GCD of 726, 354, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 726, 354, 807 Calculator

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

Online GCD Calculator is useful to find the GCD of 726, 354, 807 quickly. Get the easiest ways to solve the greatest common divisor of 726, 354, 807 i.e 3 in different methods as follows.

How to Find GCD of Numbers 726, 354, 807 with Factoring?

Given Input numbers are 726, 354, 807

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (726, 354, 807) = 3.

Find GCD of 726, 354, 807 using Prime Factorization

Given numbers are 726, 354, 807

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 726, 354, 807 is 3.

Steps to Calculate GCD of 726, 354, 807 using LCM Formula

Given numbers are 726, 354, 807

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

Apply this formula for all numbers.

Step1:

LCM(726, 354) = 42834

GCD(726, 354) = ( 726 x 354 ) / 42834

= 726 / 354

= 726

Step2:

LCM(6, 807) = 1614

GCD(6, 807) = ( 6 x 807 ) / 1614

= 6 / 807

= 6

So, Greatest Common Divisor of 726, 354, 807 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 726, 354, 807

Given numbers are 726, 354, 807
The greatest common divisor of numbers 726, 354, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 354, 807 is 3.

FAQs on GCD of 726, 354, 807 Calculator

1. What is the GCD of 726, 354, 807?

GCD of given numbers 726, 354, 807 is 3

2. How to calculate the greatest common divisor of 726, 354, 807?

We can find the highest common divisor of 726, 354, 807 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 726, 354, 807 i.e 3.

3. How can I use the GCD of 726, 354, 807Calculator?

Out the numbers 726, 354, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.