GCD of 30, 118, 930, 530 Calculator

Given Input numbers are 30, 118, 930, 530

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 30, 118, 930, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 118, 930, 530 is 2.

Therefore, GCD of numbers 30, 118, 930, 530 is 2

Given Input Data is 30, 118, 930, 530

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 118 is 2 x 59

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 530 is 2 x 5 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 118) = 1770

GCD(30, 118) = ( 30 x 118 ) / 1770

GCD(30, 118) = 3540 / 1770

GCD(30, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 930

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

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

GCD(2, 930) = 1860 / 930

GCD(2, 930) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

GCD of 30, 118, 930, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 948, 872, 353
• GCD of 25, 787, 845, 376
• GCD of 96, 789, 356, 648
• GCD of 60, 323, 862, 293
• GCD of 53, 930, 101, 543

1. What is the GCD of 30, 118, 930, 530?

GCD of 30, 118, 930, 530 is 2

2. Where do I get the detailed procedure to find GCD of 30, 118, 930, 530?

You can find a detailed procedure to find GCD of 30, 118, 930, 530 on our page.

3. How to find GCD of 30, 118, 930, 530 on a calculator?

You can find the GCD of 30, 118, 930, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.