GCD of 416, 904, 174, 828 Calculator

Given Input numbers are 416, 904, 174, 828

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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 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 416, 904, 174, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 904, 174, 828 is 2.

Therefore, GCD of numbers 416, 904, 174, 828 is 2

Given Input Data is 416, 904, 174, 828

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 174 is 2 x 3 x 29

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(416, 904) = 47008

GCD(416, 904) = ( 416 x 904 ) / 47008

GCD(416, 904) = 376064 / 47008

GCD(416, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 174

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

LCM(8, 174) = 696

GCD(8, 174) = ( 8 x 174 ) / 696

GCD(8, 174) = 1392 / 696

GCD(8, 174) = 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 416, 904, 174, 828 is 2

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1. What is the GCD of 416, 904, 174, 828?

GCD of 416, 904, 174, 828 is 2

2. Where do I get the detailed procedure to find GCD of 416, 904, 174, 828?

You can find a detailed procedure to find GCD of 416, 904, 174, 828 on our page.

3. How to find GCD of 416, 904, 174, 828 on a calculator?

You can find the GCD of 416, 904, 174, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.