GCD of 644, 437, 29, 659 Calculator

Given Input numbers are 644, 437, 29, 659

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 644, 437, 29, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 437, 29, 659 is 1.

Therefore, GCD of numbers 644, 437, 29, 659 is 1

Given Input Data is 644, 437, 29, 659

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 437 is 19 x 23

Prime Factorization of 29 is 29

Prime Factorization of 659 is 659

The above numbers do not have any common prime factor. So GCD is 1

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, 437) = 12236

GCD(644, 437) = ( 644 x 437 ) / 12236

GCD(644, 437) = 281428 / 12236

GCD(644, 437) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 29

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

LCM(23, 29) = 667

GCD(23, 29) = ( 23 x 29 ) / 667

GCD(23, 29) = 667 / 667

GCD(23, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 644, 437, 29, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 737, 12, 952
• GCD of 351, 762, 17, 835
• GCD of 136, 676, 19, 877
• GCD of 342, 258, 19, 474
• GCD of 533, 917, 46, 575

1. What is the GCD of 644, 437, 29, 659?

GCD of 644, 437, 29, 659 is 1

2. Where do I get the detailed procedure to find GCD of 644, 437, 29, 659?

You can find a detailed procedure to find GCD of 644, 437, 29, 659 on our page.

3. How to find GCD of 644, 437, 29, 659 on a calculator?

You can find the GCD of 644, 437, 29, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.