GCD of 442, 628, 16, 325 Calculator

Given Input numbers are 442, 628, 16, 325

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 442, 628, 16, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 628, 16, 325 is 1.

Therefore, GCD of numbers 442, 628, 16, 325 is 1

Given Input Data is 442, 628, 16, 325

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 628 is 2 x 2 x 157

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

Prime Factorization of 325 is 5 x 5 x 13

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(442, 628) = 138788

GCD(442, 628) = ( 442 x 628 ) / 138788

GCD(442, 628) = 277576 / 138788

GCD(442, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 325

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

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

GCD(2, 325) = 650 / 650

GCD(2, 325) = 1

GCD of 442, 628, 16, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 595, 22, 635
• GCD of 874, 101, 32, 501
• GCD of 565, 545, 59, 894
• GCD of 709, 754, 82, 568
• GCD of 412, 265, 36, 363

1. What is the GCD of 442, 628, 16, 325?

GCD of 442, 628, 16, 325 is 1

2. Where do I get the detailed procedure to find GCD of 442, 628, 16, 325?

You can find a detailed procedure to find GCD of 442, 628, 16, 325 on our page.

3. How to find GCD of 442, 628, 16, 325 on a calculator?

You can find the GCD of 442, 628, 16, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.