GCD of 11, 69, 17, 16 Calculator

Given Input numbers are 11, 69, 17, 16

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 17

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

1, 17

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 11, 69, 17, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 69, 17, 16 is 1.

Therefore, GCD of numbers 11, 69, 17, 16 is 1

Given Input Data is 11, 69, 17, 16

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

Prime Factorization of 11 is 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 17 is 17

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(11, 69) = 759

GCD(11, 69) = ( 11 x 69 ) / 759

GCD(11, 69) = 759 / 759

GCD(11, 69) = 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 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 11, 69, 17, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 77, 31, 91
• GCD of 65, 25, 42, 45
• GCD of 56, 41, 58, 95
• GCD of 95, 30, 71, 97
• GCD of 47, 14, 50, 74

1. What is the GCD of 11, 69, 17, 16?

GCD of 11, 69, 17, 16 is 1

2. Where do I get the detailed procedure to find GCD of 11, 69, 17, 16?

You can find a detailed procedure to find GCD of 11, 69, 17, 16 on our page.

3. How to find GCD of 11, 69, 17, 16 on a calculator?

You can find the GCD of 11, 69, 17, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.