GCD of 930, 828, 58, 276 Calculator

Given Input numbers are 930, 828, 58, 276

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 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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 930, 828, 58, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 828, 58, 276 is 2.

Therefore, GCD of numbers 930, 828, 58, 276 is 2

Given Input Data is 930, 828, 58, 276

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(930, 828) = 128340

GCD(930, 828) = ( 930 x 828 ) / 128340

GCD(930, 828) = 770040 / 128340

GCD(930, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 58

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

LCM(6, 58) = 174

GCD(6, 58) = ( 6 x 58 ) / 174

GCD(6, 58) = 348 / 174

GCD(6, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

GCD of 930, 828, 58, 276 is 2

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1. What is the GCD of 930, 828, 58, 276?

GCD of 930, 828, 58, 276 is 2

2. Where do I get the detailed procedure to find GCD of 930, 828, 58, 276?

You can find a detailed procedure to find GCD of 930, 828, 58, 276 on our page.

3. How to find GCD of 930, 828, 58, 276 on a calculator?

You can find the GCD of 930, 828, 58, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.