GCD of 830, 310, 42, 404 Calculator

Given Input numbers are 830, 310, 42, 404

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 830, 310, 42, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 310, 42, 404 is 2.

Therefore, GCD of numbers 830, 310, 42, 404 is 2

Given Input Data is 830, 310, 42, 404

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 404 is 2 x 2 x 101

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(830, 310) = 25730

GCD(830, 310) = ( 830 x 310 ) / 25730

GCD(830, 310) = 257300 / 25730

GCD(830, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 42

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

LCM(10, 42) = 210

GCD(10, 42) = ( 10 x 42 ) / 210

GCD(10, 42) = 420 / 210

GCD(10, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 830, 310, 42, 404 is 2

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1. What is the GCD of 830, 310, 42, 404?

GCD of 830, 310, 42, 404 is 2

2. Where do I get the detailed procedure to find GCD of 830, 310, 42, 404?

You can find a detailed procedure to find GCD of 830, 310, 42, 404 on our page.

3. How to find GCD of 830, 310, 42, 404 on a calculator?

You can find the GCD of 830, 310, 42, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.