GCD of 17, 5, 65, 16 Calculator

Given Input numbers are 17, 5, 65, 16

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

Divisors of 17

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

1, 17

Divisors of 5

List of positive integer divisors of 5 that divides 5 without a remainder.

1, 5

Divisors of 65

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

1, 5, 13, 65

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 17, 5, 65, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 5, 65, 16 is 1.

Therefore, GCD of numbers 17, 5, 65, 16 is 1

Given Input Data is 17, 5, 65, 16

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

Prime Factorization of 17 is 17

Prime Factorization of 5 is 5

Prime Factorization of 65 is 5 x 13

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

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(17, 5) = 85

GCD(17, 5) = ( 17 x 5 ) / 85

GCD(17, 5) = 85 / 85

GCD(17, 5) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

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

GCD of 17, 5, 65, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 1, 65, 73
• GCD of 95, 7, 79, 77
• GCD of 34, 8, 34, 30
• GCD of 99, 6, 60, 44
• GCD of 21, 7, 17, 62

1. What is the GCD of 17, 5, 65, 16?

GCD of 17, 5, 65, 16 is 1

2. Where do I get the detailed procedure to find GCD of 17, 5, 65, 16?

You can find a detailed procedure to find GCD of 17, 5, 65, 16 on our page.

3. How to find GCD of 17, 5, 65, 16 on a calculator?

You can find the GCD of 17, 5, 65, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.