GCD of 664, 744, 644 Calculator

Given Input numbers are 664, 744, 644

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

Greatest Common Divisior

We found the divisors of 664, 744, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 744, 644 is 4.

Therefore, GCD of numbers 664, 744, 644 is 4

Given Input Data is 664, 744, 644

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

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(664, 744) = 61752

GCD(664, 744) = ( 664 x 744 ) / 61752

GCD(664, 744) = 494016 / 61752

GCD(664, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 644

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

LCM(8, 644) = 1288

GCD(8, 644) = ( 8 x 644 ) / 1288

GCD(8, 644) = 5152 / 1288

GCD(8, 644) = 4

GCD of 664, 744, 644 is 4

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1. What is the GCD of 664, 744, 644?

GCD of 664, 744, 644 is 4

2. Where do I get the detailed procedure to find GCD of 664, 744, 644?

You can find a detailed procedure to find GCD of 664, 744, 644 on our page.

3. How to find GCD of 664, 744, 644 on a calculator?

You can find the GCD of 664, 744, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.