GCD of 16, 83, 69, 12 Calculator

Given Input numbers are 16, 83, 69, 12

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 83

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

1, 83

Divisors of 69

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

1, 3, 23, 69

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 16, 83, 69, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 83, 69, 12 is 1.

Therefore, GCD of numbers 16, 83, 69, 12 is 1

Given Input Data is 16, 83, 69, 12

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

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

Prime Factorization of 83 is 83

Prime Factorization of 69 is 3 x 23

Prime Factorization of 12 is 2 x 2 x 3

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(16, 83) = 1328

GCD(16, 83) = ( 16 x 83 ) / 1328

GCD(16, 83) = 1328 / 1328

GCD(16, 83) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

GCD of 16, 83, 69, 12 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 35, 91, 38
• GCD of 87, 84, 91, 49
• GCD of 13, 66, 82, 96
• GCD of 27, 35, 88, 94
• GCD of 83, 77, 95, 45

1. What is the GCD of 16, 83, 69, 12?

GCD of 16, 83, 69, 12 is 1

2. Where do I get the detailed procedure to find GCD of 16, 83, 69, 12?

You can find a detailed procedure to find GCD of 16, 83, 69, 12 on our page.

3. How to find GCD of 16, 83, 69, 12 on a calculator?

You can find the GCD of 16, 83, 69, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.