GCD of 83, 64, 16, 27 Calculator

Given Input numbers are 83, 64, 16, 27

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

Divisors of 83

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

1, 83

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 83, 64, 16, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 64, 16, 27 is 1.

Therefore, GCD of numbers 83, 64, 16, 27 is 1

Given Input Data is 83, 64, 16, 27

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

Prime Factorization of 83 is 83

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 27 is 3 x 3 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(83, 64) = 5312

GCD(83, 64) = ( 83 x 64 ) / 5312

GCD(83, 64) = 5312 / 5312

GCD(83, 64) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

GCD of 83, 64, 16, 27 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 76, 80, 68
• GCD of 13, 52, 18, 56
• GCD of 20, 23, 55, 53
• GCD of 68, 18, 79, 89
• GCD of 22, 43, 12, 78

1. What is the GCD of 83, 64, 16, 27?

GCD of 83, 64, 16, 27 is 1

2. Where do I get the detailed procedure to find GCD of 83, 64, 16, 27?

You can find a detailed procedure to find GCD of 83, 64, 16, 27 on our page.

3. How to find GCD of 83, 64, 16, 27 on a calculator?

You can find the GCD of 83, 64, 16, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.