GCD of 343, 682, 493, 443 Calculator

Given Input numbers are 343, 682, 493, 443

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 343, 682, 493, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 682, 493, 443 is 1.

Therefore, GCD of numbers 343, 682, 493, 443 is 1

Given Input Data is 343, 682, 493, 443

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 682 is 2 x 11 x 31

Prime Factorization of 493 is 17 x 29

Prime Factorization of 443 is 443

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, 682) = 233926

GCD(343, 682) = ( 343 x 682 ) / 233926

GCD(343, 682) = 233926 / 233926

GCD(343, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 343, 682, 493, 443 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 622, 960, 701
• GCD of 540, 126, 164, 142
• GCD of 786, 990, 954, 105
• GCD of 893, 301, 629, 285
• GCD of 544, 312, 294, 778

1. What is the GCD of 343, 682, 493, 443?

GCD of 343, 682, 493, 443 is 1

2. Where do I get the detailed procedure to find GCD of 343, 682, 493, 443?

You can find a detailed procedure to find GCD of 343, 682, 493, 443 on our page.

3. How to find GCD of 343, 682, 493, 443 on a calculator?

You can find the GCD of 343, 682, 493, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.