GCD of 644, 716, 424 Calculator

Given Input numbers are 644, 716, 424

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 644, 716, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 716, 424 is 4.

Therefore, GCD of numbers 644, 716, 424 is 4

Given Input Data is 644, 716, 424

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 716 is 2 x 2 x 179

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 716) = 115276

GCD(644, 716) = ( 644 x 716 ) / 115276

GCD(644, 716) = 461104 / 115276

GCD(644, 716) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 424

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

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

GCD(4, 424) = 1696 / 424

GCD(4, 424) = 4

GCD of 644, 716, 424 is 4

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1. What is the GCD of 644, 716, 424?

GCD of 644, 716, 424 is 4

2. Where do I get the detailed procedure to find GCD of 644, 716, 424?

You can find a detailed procedure to find GCD of 644, 716, 424 on our page.

3. How to find GCD of 644, 716, 424 on a calculator?

You can find the GCD of 644, 716, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.