GCD of 497, 343, 44, 726 Calculator

Given Input numbers are 497, 343, 44, 726

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 343

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

1, 7, 49, 343

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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

Greatest Common Divisior

We found the divisors of 497, 343, 44, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 343, 44, 726 is 1.

Therefore, GCD of numbers 497, 343, 44, 726 is 1

Given Input Data is 497, 343, 44, 726

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 44 is 2 x 2 x 11

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

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(497, 343) = 24353

GCD(497, 343) = ( 497 x 343 ) / 24353

GCD(497, 343) = 170471 / 24353

GCD(497, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 44

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

LCM(7, 44) = 308

GCD(7, 44) = ( 7 x 44 ) / 308

GCD(7, 44) = 308 / 308

GCD(7, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 497, 343, 44, 726 is 1

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1. What is the GCD of 497, 343, 44, 726?

GCD of 497, 343, 44, 726 is 1

2. Where do I get the detailed procedure to find GCD of 497, 343, 44, 726?

You can find a detailed procedure to find GCD of 497, 343, 44, 726 on our page.

3. How to find GCD of 497, 343, 44, 726 on a calculator?

You can find the GCD of 497, 343, 44, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.