GCD of 16, 42, 86 Calculator

Given Input numbers are 16, 42, 86

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 86

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

1, 2, 43, 86

Greatest Common Divisior

We found the divisors of 16, 42, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 42, 86 is 2.

Therefore, GCD of numbers 16, 42, 86 is 2

Given Input Data is 16, 42, 86

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 42 is 2 x 3 x 7

Prime Factorization of 86 is 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 42) = 336

GCD(16, 42) = ( 16 x 42 ) / 336

GCD(16, 42) = 672 / 336

GCD(16, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

GCD of 16, 42, 86 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 99, 37
• GCD of 53, 31, 50
• GCD of 11, 59, 48
• GCD of 84, 64, 21
• GCD of 82, 25, 23

1. What is the GCD of 16, 42, 86?

GCD of 16, 42, 86 is 2

2. Where do I get the detailed procedure to find GCD of 16, 42, 86?

You can find a detailed procedure to find GCD of 16, 42, 86 on our page.

3. How to find GCD of 16, 42, 86 on a calculator?

You can find the GCD of 16, 42, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.