GCD of 866, 828, 474 Calculator

Given Input numbers are 866, 828, 474

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 866, 828, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 828, 474 is 2.

Therefore, GCD of numbers 866, 828, 474 is 2

Given Input Data is 866, 828, 474

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 474 is 2 x 3 x 79

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(866, 828) = 358524

GCD(866, 828) = ( 866 x 828 ) / 358524

GCD(866, 828) = 717048 / 358524

GCD(866, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

GCD of 866, 828, 474 is 2

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1. What is the GCD of 866, 828, 474?

GCD of 866, 828, 474 is 2

2. Where do I get the detailed procedure to find GCD of 866, 828, 474?

You can find a detailed procedure to find GCD of 866, 828, 474 on our page.

3. How to find GCD of 866, 828, 474 on a calculator?

You can find the GCD of 866, 828, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.