GCD of 690, 999, 24, 919 Calculator

Given Input numbers are 690, 999, 24, 919

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 690, 999, 24, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 999, 24, 919 is 1.

Therefore, GCD of numbers 690, 999, 24, 919 is 1

Given Input Data is 690, 999, 24, 919

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 919 is 919

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(690, 999) = 229770

GCD(690, 999) = ( 690 x 999 ) / 229770

GCD(690, 999) = 689310 / 229770

GCD(690, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 919

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

LCM(3, 919) = 2757

GCD(3, 919) = ( 3 x 919 ) / 2757

GCD(3, 919) = 2757 / 2757

GCD(3, 919) = 1

GCD of 690, 999, 24, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 132, 31, 240
• GCD of 729, 108, 30, 199
• GCD of 313, 111, 33, 919
• GCD of 340, 493, 97, 388
• GCD of 351, 154, 83, 396

1. What is the GCD of 690, 999, 24, 919?

GCD of 690, 999, 24, 919 is 1

2. Where do I get the detailed procedure to find GCD of 690, 999, 24, 919?

You can find a detailed procedure to find GCD of 690, 999, 24, 919 on our page.

3. How to find GCD of 690, 999, 24, 919 on a calculator?

You can find the GCD of 690, 999, 24, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.