GCD of 612, 591, 17, 699 Calculator

Given Input numbers are 612, 591, 17, 699

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 17

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

1, 17

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 612, 591, 17, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 591, 17, 699 is 1.

Therefore, GCD of numbers 612, 591, 17, 699 is 1

Given Input Data is 612, 591, 17, 699

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 591 is 3 x 197

Prime Factorization of 17 is 17

Prime Factorization of 699 is 3 x 233

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(612, 591) = 120564

GCD(612, 591) = ( 612 x 591 ) / 120564

GCD(612, 591) = 361692 / 120564

GCD(612, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 612, 591, 17, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 588, 80, 749
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1. What is the GCD of 612, 591, 17, 699?

GCD of 612, 591, 17, 699 is 1

2. Where do I get the detailed procedure to find GCD of 612, 591, 17, 699?

You can find a detailed procedure to find GCD of 612, 591, 17, 699 on our page.

3. How to find GCD of 612, 591, 17, 699 on a calculator?

You can find the GCD of 612, 591, 17, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.