GCD of 412, 928, 386 Calculator

Given Input numbers are 412, 928, 386

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 412, 928, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 928, 386 is 2.

Therefore, GCD of numbers 412, 928, 386 is 2

Given Input Data is 412, 928, 386

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 386 is 2 x 193

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(412, 928) = 95584

GCD(412, 928) = ( 412 x 928 ) / 95584

GCD(412, 928) = 382336 / 95584

GCD(412, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 386

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

LCM(4, 386) = 772

GCD(4, 386) = ( 4 x 386 ) / 772

GCD(4, 386) = 1544 / 772

GCD(4, 386) = 2

GCD of 412, 928, 386 is 2

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1. What is the GCD of 412, 928, 386?

GCD of 412, 928, 386 is 2

2. Where do I get the detailed procedure to find GCD of 412, 928, 386?

You can find a detailed procedure to find GCD of 412, 928, 386 on our page.

3. How to find GCD of 412, 928, 386 on a calculator?

You can find the GCD of 412, 928, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.