GCD of 232, 830, 814 Calculator

Given Input numbers are 232, 830, 814

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 232, 830, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 830, 814 is 2.

Therefore, GCD of numbers 232, 830, 814 is 2

Given Input Data is 232, 830, 814

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 814 is 2 x 11 x 37

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(232, 830) = 96280

GCD(232, 830) = ( 232 x 830 ) / 96280

GCD(232, 830) = 192560 / 96280

GCD(232, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 232, 830, 814 is 2

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1. What is the GCD of 232, 830, 814?

GCD of 232, 830, 814 is 2

2. Where do I get the detailed procedure to find GCD of 232, 830, 814?

You can find a detailed procedure to find GCD of 232, 830, 814 on our page.

3. How to find GCD of 232, 830, 814 on a calculator?

You can find the GCD of 232, 830, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.