GCD of 130, 775, 33, 234 Calculator

Given Input numbers are 130, 775, 33, 234

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 33

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

1, 3, 11, 33

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 130, 775, 33, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 775, 33, 234 is 1.

Therefore, GCD of numbers 130, 775, 33, 234 is 1

Given Input Data is 130, 775, 33, 234

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 33 is 3 x 11

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(130, 775) = 20150

GCD(130, 775) = ( 130 x 775 ) / 20150

GCD(130, 775) = 100750 / 20150

GCD(130, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 33

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

LCM(5, 33) = 165

GCD(5, 33) = ( 5 x 33 ) / 165

GCD(5, 33) = 165 / 165

GCD(5, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 130, 775, 33, 234 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 775, 32, 976
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• GCD of 274, 203, 56, 177
• GCD of 412, 196, 27, 441

1. What is the GCD of 130, 775, 33, 234?

GCD of 130, 775, 33, 234 is 1

2. Where do I get the detailed procedure to find GCD of 130, 775, 33, 234?

You can find a detailed procedure to find GCD of 130, 775, 33, 234 on our page.

3. How to find GCD of 130, 775, 33, 234 on a calculator?

You can find the GCD of 130, 775, 33, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.