GCD of 500, 326, 544, 343 Calculator

Given Input numbers are 500, 326, 544, 343

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 500, 326, 544, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 326, 544, 343 is 1.

Therefore, GCD of numbers 500, 326, 544, 343 is 1

Given Input Data is 500, 326, 544, 343

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 326 is 2 x 163

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 343 is 7 x 7 x 7

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(500, 326) = 81500

GCD(500, 326) = ( 500 x 326 ) / 81500

GCD(500, 326) = 163000 / 81500

GCD(500, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

GCD of 500, 326, 544, 343 is 1

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• GCD of 488, 427, 307, 953
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1. What is the GCD of 500, 326, 544, 343?

GCD of 500, 326, 544, 343 is 1

2. Where do I get the detailed procedure to find GCD of 500, 326, 544, 343?

You can find a detailed procedure to find GCD of 500, 326, 544, 343 on our page.

3. How to find GCD of 500, 326, 544, 343 on a calculator?

You can find the GCD of 500, 326, 544, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.