GCD of 30, 119, 999, 755 Calculator

Given Input numbers are 30, 119, 999, 755

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 30, 119, 999, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 119, 999, 755 is 1.

Therefore, GCD of numbers 30, 119, 999, 755 is 1

Given Input Data is 30, 119, 999, 755

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 119 is 7 x 17

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

Prime Factorization of 755 is 5 x 151

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(30, 119) = 3570

GCD(30, 119) = ( 30 x 119 ) / 3570

GCD(30, 119) = 3570 / 3570

GCD(30, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 30, 119, 999, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 337, 160, 624
• GCD of 31, 751, 823, 457
• GCD of 53, 461, 436, 722
• GCD of 69, 255, 486, 770
• GCD of 60, 493, 331, 424

1. What is the GCD of 30, 119, 999, 755?

GCD of 30, 119, 999, 755 is 1

2. Where do I get the detailed procedure to find GCD of 30, 119, 999, 755?

You can find a detailed procedure to find GCD of 30, 119, 999, 755 on our page.

3. How to find GCD of 30, 119, 999, 755 on a calculator?

You can find the GCD of 30, 119, 999, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.