GCD of 234, 110, 717, 724 Calculator

Given Input numbers are 234, 110, 717, 724

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

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 234, 110, 717, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 110, 717, 724 is 1.

Therefore, GCD of numbers 234, 110, 717, 724 is 1

Given Input Data is 234, 110, 717, 724

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

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 717 is 3 x 239

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(234, 110) = 12870

GCD(234, 110) = ( 234 x 110 ) / 12870

GCD(234, 110) = 25740 / 12870

GCD(234, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 717

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

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

GCD(2, 717) = 1434 / 1434

GCD(2, 717) = 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 234, 110, 717, 724 is 1

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• GCD of 796, 487, 804, 196
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• GCD of 137, 733, 905, 426

1. What is the GCD of 234, 110, 717, 724?

GCD of 234, 110, 717, 724 is 1

2. Where do I get the detailed procedure to find GCD of 234, 110, 717, 724?

You can find a detailed procedure to find GCD of 234, 110, 717, 724 on our page.

3. How to find GCD of 234, 110, 717, 724 on a calculator?

You can find the GCD of 234, 110, 717, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.