GCD of 17, 758, 627, 584 Calculator

Given Input numbers are 17, 758, 627, 584

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 17, 758, 627, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 758, 627, 584 is 1.

Therefore, GCD of numbers 17, 758, 627, 584 is 1

Given Input Data is 17, 758, 627, 584

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

Prime Factorization of 17 is 17

Prime Factorization of 758 is 2 x 379

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 758) = 12886

GCD(17, 758) = ( 17 x 758 ) / 12886

GCD(17, 758) = 12886 / 12886

GCD(17, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 17, 758, 627, 584 is 1

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1. What is the GCD of 17, 758, 627, 584?

GCD of 17, 758, 627, 584 is 1

2. Where do I get the detailed procedure to find GCD of 17, 758, 627, 584?

You can find a detailed procedure to find GCD of 17, 758, 627, 584 on our page.

3. How to find GCD of 17, 758, 627, 584 on a calculator?

You can find the GCD of 17, 758, 627, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.