GCD of 930, 198, 39, 752 Calculator

Given Input numbers are 930, 198, 39, 752

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

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 930, 198, 39, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 198, 39, 752 is 1.

Therefore, GCD of numbers 930, 198, 39, 752 is 1

Given Input Data is 930, 198, 39, 752

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

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 39 is 3 x 13

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(930, 198) = 30690

GCD(930, 198) = ( 930 x 198 ) / 30690

GCD(930, 198) = 184140 / 30690

GCD(930, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 39

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

LCM(6, 39) = 78

GCD(6, 39) = ( 6 x 39 ) / 78

GCD(6, 39) = 234 / 78

GCD(6, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 752

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

LCM(3, 752) = 2256

GCD(3, 752) = ( 3 x 752 ) / 2256

GCD(3, 752) = 2256 / 2256

GCD(3, 752) = 1

GCD of 930, 198, 39, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 822, 10, 115
• GCD of 740, 538, 92, 951
• GCD of 367, 803, 63, 518
• GCD of 284, 595, 16, 132
• GCD of 470, 668, 36, 262

1. What is the GCD of 930, 198, 39, 752?

GCD of 930, 198, 39, 752 is 1

2. Where do I get the detailed procedure to find GCD of 930, 198, 39, 752?

You can find a detailed procedure to find GCD of 930, 198, 39, 752 on our page.

3. How to find GCD of 930, 198, 39, 752 on a calculator?

You can find the GCD of 930, 198, 39, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.