GCD of 830, 462, 774 Calculator

Given Input numbers are 830, 462, 774

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 830, 462, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 462, 774 is 2.

Therefore, GCD of numbers 830, 462, 774 is 2

Given Input Data is 830, 462, 774

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 462 is 2 x 3 x 7 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 462) = 191730

GCD(830, 462) = ( 830 x 462 ) / 191730

GCD(830, 462) = 383460 / 191730

GCD(830, 462) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

GCD of 830, 462, 774 is 2

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1. What is the GCD of 830, 462, 774?

GCD of 830, 462, 774 is 2

2. Where do I get the detailed procedure to find GCD of 830, 462, 774?

You can find a detailed procedure to find GCD of 830, 462, 774 on our page.

3. How to find GCD of 830, 462, 774 on a calculator?

You can find the GCD of 830, 462, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.