GCD of 648, 195, 83, 616 Calculator

Given Input numbers are 648, 195, 83, 616

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 648, 195, 83, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 195, 83, 616 is 1.

Therefore, GCD of numbers 648, 195, 83, 616 is 1

Given Input Data is 648, 195, 83, 616

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 83 is 83

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(648, 195) = 42120

GCD(648, 195) = ( 648 x 195 ) / 42120

GCD(648, 195) = 126360 / 42120

GCD(648, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 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 648, 195, 83, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 891, 13, 614
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• GCD of 997, 885, 59, 599

1. What is the GCD of 648, 195, 83, 616?

GCD of 648, 195, 83, 616 is 1

2. Where do I get the detailed procedure to find GCD of 648, 195, 83, 616?

You can find a detailed procedure to find GCD of 648, 195, 83, 616 on our page.

3. How to find GCD of 648, 195, 83, 616 on a calculator?

You can find the GCD of 648, 195, 83, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.