GCD of 462, 174, 500, 828 Calculator

Given Input numbers are 462, 174, 500, 828

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 462, 174, 500, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 174, 500, 828 is 2.

Therefore, GCD of numbers 462, 174, 500, 828 is 2

Given Input Data is 462, 174, 500, 828

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 174 is 2 x 3 x 29

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(462, 174) = 13398

GCD(462, 174) = ( 462 x 174 ) / 13398

GCD(462, 174) = 80388 / 13398

GCD(462, 174) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 500

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

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

GCD(6, 500) = 3000 / 1500

GCD(6, 500) = 2

Step3:

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 462, 174, 500, 828 is 2

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1. What is the GCD of 462, 174, 500, 828?

GCD of 462, 174, 500, 828 is 2

2. Where do I get the detailed procedure to find GCD of 462, 174, 500, 828?

You can find a detailed procedure to find GCD of 462, 174, 500, 828 on our page.

3. How to find GCD of 462, 174, 500, 828 on a calculator?

You can find the GCD of 462, 174, 500, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.