Where do I get the detailed procedure to find GCD of 231, 726, 682?

You can find a detailed procedure to find GCD of 231, 726, 682 on our page.

How to find GCD of 231, 726, 682 on a calculator?

You can find the GCD of 231, 726, 682 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 231, 726, 682 Calculator

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

Online GCD Calculator is useful to find the GCD of 231, 726, 682 quickly. Get the easiest ways to solve the greatest common divisor of 231, 726, 682 i.e 11 in different methods as follows.

How to Find GCD of Numbers 231, 726, 682 with Factoring?

Given Input numbers are 231, 726, 682

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (231, 726, 682) = 11.

Find GCD of 231, 726, 682 using Prime Factorization

Given numbers are 231, 726, 682

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 11¹

Therefore, GCD of 231, 726, 682 is 11.

Steps to Calculate GCD of 231, 726, 682 using LCM Formula

Given numbers are 231, 726, 682

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

Apply this formula for all numbers.

Step1:

LCM(231, 726) = 5082

GCD(231, 726) = ( 231 x 726 ) / 5082

= 231 / 726

= 231

Step2:

LCM(33, 682) = 2046

GCD(33, 682) = ( 33 x 682 ) / 2046

= 33 / 682

= 33

So, Greatest Common Divisor of 231, 726, 682 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 231, 726, 682

Given numbers are 231, 726, 682
The greatest common divisor of numbers 231, 726, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 726, 682 is 11.

FAQs on GCD of 231, 726, 682 Calculator

1. What is the GCD of 231, 726, 682?

GCD of given numbers 231, 726, 682 is 11

2. How to calculate the greatest common divisor of 231, 726, 682?

We can find the highest common divisor of 231, 726, 682 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 231, 726, 682 i.e 11.

3. How can I use the GCD of 231, 726, 682Calculator?

Out the numbers 231, 726, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.