GCD of 39, 396, 295, 616 Calculator

Given Input numbers are 39, 396, 295, 616

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 295

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

1, 5, 59, 295

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 39, 396, 295, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 396, 295, 616 is 1.

Therefore, GCD of numbers 39, 396, 295, 616 is 1

Given Input Data is 39, 396, 295, 616

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 295 is 5 x 59

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(39, 396) = 5148

GCD(39, 396) = ( 39 x 396 ) / 5148

GCD(39, 396) = 15444 / 5148

GCD(39, 396) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 295

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

LCM(3, 295) = 885

GCD(3, 295) = ( 3 x 295 ) / 885

GCD(3, 295) = 885 / 885

GCD(3, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 39, 396, 295, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 350, 499, 479
• GCD of 64, 546, 544, 984
• GCD of 97, 213, 760, 632
• GCD of 14, 458, 280, 764
• GCD of 40, 346, 353, 352

1. What is the GCD of 39, 396, 295, 616?

GCD of 39, 396, 295, 616 is 1

2. Where do I get the detailed procedure to find GCD of 39, 396, 295, 616?

You can find a detailed procedure to find GCD of 39, 396, 295, 616 on our page.

3. How to find GCD of 39, 396, 295, 616 on a calculator?

You can find the GCD of 39, 396, 295, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.