GCD of 17, 300, 234, 724 Calculator

Given Input numbers are 17, 300, 234, 724

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 17, 300, 234, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 300, 234, 724 is 1.

Therefore, GCD of numbers 17, 300, 234, 724 is 1

Given Input Data is 17, 300, 234, 724

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

Prime Factorization of 17 is 17

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 724 is 2 x 2 x 181

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(17, 300) = 5100

GCD(17, 300) = ( 17 x 300 ) / 5100

GCD(17, 300) = 5100 / 5100

GCD(17, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 17, 300, 234, 724 is 1

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1. What is the GCD of 17, 300, 234, 724?

GCD of 17, 300, 234, 724 is 1

2. Where do I get the detailed procedure to find GCD of 17, 300, 234, 724?

You can find a detailed procedure to find GCD of 17, 300, 234, 724 on our page.

3. How to find GCD of 17, 300, 234, 724 on a calculator?

You can find the GCD of 17, 300, 234, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.