GCD of 164, 939, 16, 644 Calculator

Given Input numbers are 164, 939, 16, 644

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 164, 939, 16, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 939, 16, 644 is 1.

Therefore, GCD of numbers 164, 939, 16, 644 is 1

Given Input Data is 164, 939, 16, 644

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 939 is 3 x 313

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

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(164, 939) = 153996

GCD(164, 939) = ( 164 x 939 ) / 153996

GCD(164, 939) = 153996 / 153996

GCD(164, 939) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 164, 939, 16, 644 is 1

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1. What is the GCD of 164, 939, 16, 644?

GCD of 164, 939, 16, 644 is 1

2. Where do I get the detailed procedure to find GCD of 164, 939, 16, 644?

You can find a detailed procedure to find GCD of 164, 939, 16, 644 on our page.

3. How to find GCD of 164, 939, 16, 644 on a calculator?

You can find the GCD of 164, 939, 16, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.