GCD of 724, 471, 17, 291 Calculator

Given Input numbers are 724, 471, 17, 291

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 17

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

1, 17

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 724, 471, 17, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 471, 17, 291 is 1.

Therefore, GCD of numbers 724, 471, 17, 291 is 1

Given Input Data is 724, 471, 17, 291

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 471 is 3 x 157

Prime Factorization of 17 is 17

Prime Factorization of 291 is 3 x 97

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(724, 471) = 341004

GCD(724, 471) = ( 724 x 471 ) / 341004

GCD(724, 471) = 341004 / 341004

GCD(724, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 724, 471, 17, 291 is 1

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1. What is the GCD of 724, 471, 17, 291?

GCD of 724, 471, 17, 291 is 1

2. Where do I get the detailed procedure to find GCD of 724, 471, 17, 291?

You can find a detailed procedure to find GCD of 724, 471, 17, 291 on our page.

3. How to find GCD of 724, 471, 17, 291 on a calculator?

You can find the GCD of 724, 471, 17, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.