GCD of 238, 930, 109, 828 Calculator

Given Input numbers are 238, 930, 109, 828

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 238, 930, 109, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 930, 109, 828 is 1.

Therefore, GCD of numbers 238, 930, 109, 828 is 1

Given Input Data is 238, 930, 109, 828

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

Prime Factorization of 238 is 2 x 7 x 17

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

Prime Factorization of 109 is 109

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(238, 930) = 110670

GCD(238, 930) = ( 238 x 930 ) / 110670

GCD(238, 930) = 221340 / 110670

GCD(238, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 238, 930, 109, 828 is 1

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1. What is the GCD of 238, 930, 109, 828?

GCD of 238, 930, 109, 828 is 1

2. Where do I get the detailed procedure to find GCD of 238, 930, 109, 828?

You can find a detailed procedure to find GCD of 238, 930, 109, 828 on our page.

3. How to find GCD of 238, 930, 109, 828 on a calculator?

You can find the GCD of 238, 930, 109, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.