GCD of 838, 728, 446, 296 Calculator

Given Input numbers are 838, 728, 446, 296

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 838, 728, 446, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 728, 446, 296 is 2.

Therefore, GCD of numbers 838, 728, 446, 296 is 2

Given Input Data is 838, 728, 446, 296

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 446 is 2 x 223

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(838, 728) = 305032

GCD(838, 728) = ( 838 x 728 ) / 305032

GCD(838, 728) = 610064 / 305032

GCD(838, 728) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

GCD of 838, 728, 446, 296 is 2

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1. What is the GCD of 838, 728, 446, 296?

GCD of 838, 728, 446, 296 is 2

2. Where do I get the detailed procedure to find GCD of 838, 728, 446, 296?

You can find a detailed procedure to find GCD of 838, 728, 446, 296 on our page.

3. How to find GCD of 838, 728, 446, 296 on a calculator?

You can find the GCD of 838, 728, 446, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.