GCD of 699, 915, 33, 514 Calculator

Given Input numbers are 699, 915, 33, 514

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

Divisors of 699

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

1, 3, 233, 699

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 699, 915, 33, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 915, 33, 514 is 1.

Therefore, GCD of numbers 699, 915, 33, 514 is 1

Given Input Data is 699, 915, 33, 514

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 33 is 3 x 11

Prime Factorization of 514 is 2 x 257

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(699, 915) = 213195

GCD(699, 915) = ( 699 x 915 ) / 213195

GCD(699, 915) = 639585 / 213195

GCD(699, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 514

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

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

GCD(3, 514) = 1542 / 1542

GCD(3, 514) = 1

GCD of 699, 915, 33, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 335, 93, 212
• GCD of 102, 497, 94, 874
• GCD of 654, 507, 13, 194
• GCD of 899, 903, 86, 968
• GCD of 848, 713, 59, 926

1. What is the GCD of 699, 915, 33, 514?

GCD of 699, 915, 33, 514 is 1

2. Where do I get the detailed procedure to find GCD of 699, 915, 33, 514?

You can find a detailed procedure to find GCD of 699, 915, 33, 514 on our page.

3. How to find GCD of 699, 915, 33, 514 on a calculator?

You can find the GCD of 699, 915, 33, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.