GCD of 506, 295, 16, 626 Calculator

Given Input numbers are 506, 295, 16, 626

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 506, 295, 16, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 295, 16, 626 is 1.

Therefore, GCD of numbers 506, 295, 16, 626 is 1

Given Input Data is 506, 295, 16, 626

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 295 is 5 x 59

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

Prime Factorization of 626 is 2 x 313

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(506, 295) = 149270

GCD(506, 295) = ( 506 x 295 ) / 149270

GCD(506, 295) = 149270 / 149270

GCD(506, 295) = 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 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 506, 295, 16, 626 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 227, 37, 866
• GCD of 117, 492, 55, 196
• GCD of 768, 150, 74, 124
• GCD of 207, 655, 27, 808
• GCD of 193, 426, 19, 349

1. What is the GCD of 506, 295, 16, 626?

GCD of 506, 295, 16, 626 is 1

2. Where do I get the detailed procedure to find GCD of 506, 295, 16, 626?

You can find a detailed procedure to find GCD of 506, 295, 16, 626 on our page.

3. How to find GCD of 506, 295, 16, 626 on a calculator?

You can find the GCD of 506, 295, 16, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.