GCD of 65, 19, 17, 82 Calculator

Given Input numbers are 65, 19, 17, 82

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 65, 19, 17, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 19, 17, 82 is 1.

Therefore, GCD of numbers 65, 19, 17, 82 is 1

Given Input Data is 65, 19, 17, 82

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 19 is 19

Prime Factorization of 17 is 17

Prime Factorization of 82 is 2 x 41

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(65, 19) = 1235

GCD(65, 19) = ( 65 x 19 ) / 1235

GCD(65, 19) = 1235 / 1235

GCD(65, 19) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 65, 19, 17, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 70, 48, 89
• GCD of 17, 48, 63, 43
• GCD of 27, 37, 98, 97
• GCD of 60, 71, 80, 54
• GCD of 14, 61, 77, 64

1. What is the GCD of 65, 19, 17, 82?

GCD of 65, 19, 17, 82 is 1

2. Where do I get the detailed procedure to find GCD of 65, 19, 17, 82?

You can find a detailed procedure to find GCD of 65, 19, 17, 82 on our page.

3. How to find GCD of 65, 19, 17, 82 on a calculator?

You can find the GCD of 65, 19, 17, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.