GCD of 574, 886, 828 Calculator

Given Input numbers are 574, 886, 828

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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

Greatest Common Divisior

We found the divisors of 574, 886, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 886, 828 is 2.

Therefore, GCD of numbers 574, 886, 828 is 2

Given Input Data is 574, 886, 828

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 886 is 2 x 443

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

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(574, 886) = 254282

GCD(574, 886) = ( 574 x 886 ) / 254282

GCD(574, 886) = 508564 / 254282

GCD(574, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 574, 886, 828 is 2

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1. What is the GCD of 574, 886, 828?

GCD of 574, 886, 828 is 2

2. Where do I get the detailed procedure to find GCD of 574, 886, 828?

You can find a detailed procedure to find GCD of 574, 886, 828 on our page.

3. How to find GCD of 574, 886, 828 on a calculator?

You can find the GCD of 574, 886, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.