GCD of 328, 644, 47, 753 Calculator

Given Input numbers are 328, 644, 47, 753

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 328, 644, 47, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 644, 47, 753 is 1.

Therefore, GCD of numbers 328, 644, 47, 753 is 1

Given Input Data is 328, 644, 47, 753

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Prime Factorization of 47 is 47

Prime Factorization of 753 is 3 x 251

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(328, 644) = 52808

GCD(328, 644) = ( 328 x 644 ) / 52808

GCD(328, 644) = 211232 / 52808

GCD(328, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 47

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

LCM(4, 47) = 188

GCD(4, 47) = ( 4 x 47 ) / 188

GCD(4, 47) = 188 / 188

GCD(4, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 328, 644, 47, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 625, 29, 444
• GCD of 799, 450, 41, 556
• GCD of 282, 479, 59, 133
• GCD of 277, 295, 69, 892
• GCD of 118, 423, 58, 328

1. What is the GCD of 328, 644, 47, 753?

GCD of 328, 644, 47, 753 is 1

2. Where do I get the detailed procedure to find GCD of 328, 644, 47, 753?

You can find a detailed procedure to find GCD of 328, 644, 47, 753 on our page.

3. How to find GCD of 328, 644, 47, 753 on a calculator?

You can find the GCD of 328, 644, 47, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.