GCD of 689, 975, 17, 519 Calculator

Given Input numbers are 689, 975, 17, 519

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 17

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

1, 17

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 689, 975, 17, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 975, 17, 519 is 1.

Therefore, GCD of numbers 689, 975, 17, 519 is 1

Given Input Data is 689, 975, 17, 519

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 17 is 17

Prime Factorization of 519 is 3 x 173

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(689, 975) = 51675

GCD(689, 975) = ( 689 x 975 ) / 51675

GCD(689, 975) = 671775 / 51675

GCD(689, 975) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 17

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

LCM(13, 17) = 221

GCD(13, 17) = ( 13 x 17 ) / 221

GCD(13, 17) = 221 / 221

GCD(13, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 689, 975, 17, 519 is 1

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1. What is the GCD of 689, 975, 17, 519?

GCD of 689, 975, 17, 519 is 1

2. Where do I get the detailed procedure to find GCD of 689, 975, 17, 519?

You can find a detailed procedure to find GCD of 689, 975, 17, 519 on our page.

3. How to find GCD of 689, 975, 17, 519 on a calculator?

You can find the GCD of 689, 975, 17, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.