GCD of 343, 726, 468 Calculator

Given Input numbers are 343, 726, 468

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 343, 726, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 726, 468 is 1.

Therefore, GCD of numbers 343, 726, 468 is 1

Given Input Data is 343, 726, 468

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(343, 726) = 249018

GCD(343, 726) = ( 343 x 726 ) / 249018

GCD(343, 726) = 249018 / 249018

GCD(343, 726) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 343, 726, 468 is 1

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1. What is the GCD of 343, 726, 468?

GCD of 343, 726, 468 is 1

2. Where do I get the detailed procedure to find GCD of 343, 726, 468?

You can find a detailed procedure to find GCD of 343, 726, 468 on our page.

3. How to find GCD of 343, 726, 468 on a calculator?

You can find the GCD of 343, 726, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.