GCD of 462, 414, 876, 831 Calculator

Given Input numbers are 462, 414, 876, 831

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

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 462, 414, 876, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 414, 876, 831 is 3.

Therefore, GCD of numbers 462, 414, 876, 831 is 3

Given Input Data is 462, 414, 876, 831

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 831 is 3 x 277

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(462, 414) = 31878

GCD(462, 414) = ( 462 x 414 ) / 31878

GCD(462, 414) = 191268 / 31878

GCD(462, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 876

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

LCM(6, 876) = 876

GCD(6, 876) = ( 6 x 876 ) / 876

GCD(6, 876) = 5256 / 876

GCD(6, 876) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 831

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

LCM(6, 831) = 1662

GCD(6, 831) = ( 6 x 831 ) / 1662

GCD(6, 831) = 4986 / 1662

GCD(6, 831) = 3

GCD of 462, 414, 876, 831 is 3

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1. What is the GCD of 462, 414, 876, 831?

GCD of 462, 414, 876, 831 is 3

2. Where do I get the detailed procedure to find GCD of 462, 414, 876, 831?

You can find a detailed procedure to find GCD of 462, 414, 876, 831 on our page.

3. How to find GCD of 462, 414, 876, 831 on a calculator?

You can find the GCD of 462, 414, 876, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.