GCD of 16, 45, 86, 39 Calculator

Given Input numbers are 16, 45, 86, 39

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 16, 45, 86, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 45, 86, 39 is 1.

Therefore, GCD of numbers 16, 45, 86, 39 is 1

Given Input Data is 16, 45, 86, 39

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 45 is 3 x 3 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 39 is 3 x 13

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, 45) = 720

GCD(16, 45) = ( 16 x 45 ) / 720

GCD(16, 45) = 720 / 720

GCD(16, 45) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

GCD of 16, 45, 86, 39 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 40, 38, 17
• GCD of 90, 22, 66, 96
• GCD of 16, 19, 77, 41
• GCD of 60, 44, 25, 15
• GCD of 28, 61, 82, 88

1. What is the GCD of 16, 45, 86, 39?

GCD of 16, 45, 86, 39 is 1

2. Where do I get the detailed procedure to find GCD of 16, 45, 86, 39?

You can find a detailed procedure to find GCD of 16, 45, 86, 39 on our page.

3. How to find GCD of 16, 45, 86, 39 on a calculator?

You can find the GCD of 16, 45, 86, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.