GCD of 392, 896, 916 Calculator

Given Input numbers are 392, 896, 916

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 392, 896, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 896, 916 is 4.

Therefore, GCD of numbers 392, 896, 916 is 4

Given Input Data is 392, 896, 916

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 916 is 2 x 2 x 229

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(392, 896) = 6272

GCD(392, 896) = ( 392 x 896 ) / 6272

GCD(392, 896) = 351232 / 6272

GCD(392, 896) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 916

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

LCM(56, 916) = 12824

GCD(56, 916) = ( 56 x 916 ) / 12824

GCD(56, 916) = 51296 / 12824

GCD(56, 916) = 4

GCD of 392, 896, 916 is 4

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1. What is the GCD of 392, 896, 916?

GCD of 392, 896, 916 is 4

2. Where do I get the detailed procedure to find GCD of 392, 896, 916?

You can find a detailed procedure to find GCD of 392, 896, 916 on our page.

3. How to find GCD of 392, 896, 916 on a calculator?

You can find the GCD of 392, 896, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.