GCD of 644, 296, 768 Calculator

Given Input numbers are 644, 296, 768

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 296

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

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 644, 296, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 296, 768 is 4.

Therefore, GCD of numbers 644, 296, 768 is 4

Given Input Data is 644, 296, 768

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(644, 296) = 47656

GCD(644, 296) = ( 644 x 296 ) / 47656

GCD(644, 296) = 190624 / 47656

GCD(644, 296) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 768

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

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

GCD(4, 768) = 3072 / 768

GCD(4, 768) = 4

GCD of 644, 296, 768 is 4

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1. What is the GCD of 644, 296, 768?

GCD of 644, 296, 768 is 4

2. Where do I get the detailed procedure to find GCD of 644, 296, 768?

You can find a detailed procedure to find GCD of 644, 296, 768 on our page.

3. How to find GCD of 644, 296, 768 on a calculator?

You can find the GCD of 644, 296, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.