GCD of 912, 699, 822, 462 Calculator

Given Input numbers are 912, 699, 822, 462

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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

Greatest Common Divisior

We found the divisors of 912, 699, 822, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 699, 822, 462 is 3.

Therefore, GCD of numbers 912, 699, 822, 462 is 3

Given Input Data is 912, 699, 822, 462

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 699 is 3 x 233

Prime Factorization of 822 is 2 x 3 x 137

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

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(912, 699) = 212496

GCD(912, 699) = ( 912 x 699 ) / 212496

GCD(912, 699) = 637488 / 212496

GCD(912, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 822

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

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

GCD(3, 822) = 2466 / 822

GCD(3, 822) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

GCD of 912, 699, 822, 462 is 3

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1. What is the GCD of 912, 699, 822, 462?

GCD of 912, 699, 822, 462 is 3

2. Where do I get the detailed procedure to find GCD of 912, 699, 822, 462?

You can find a detailed procedure to find GCD of 912, 699, 822, 462 on our page.

3. How to find GCD of 912, 699, 822, 462 on a calculator?

You can find the GCD of 912, 699, 822, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.