GCD of 86, 14, 40, 16 Calculator

Given Input numbers are 86, 14, 40, 16

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

Divisors of 86

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

1, 2, 43, 86

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 86, 14, 40, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 14, 40, 16 is 2.

Therefore, GCD of numbers 86, 14, 40, 16 is 2

Given Input Data is 86, 14, 40, 16

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 14 is 2 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

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(86, 14) = 602

GCD(86, 14) = ( 86 x 14 ) / 602

GCD(86, 14) = 1204 / 602

GCD(86, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

GCD of 86, 14, 40, 16 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 20, 21, 50
• GCD of 29, 45, 29, 46
• GCD of 28, 80, 84, 62
• GCD of 25, 37, 40, 87
• GCD of 79, 82, 58, 99

1. What is the GCD of 86, 14, 40, 16?

GCD of 86, 14, 40, 16 is 2

2. Where do I get the detailed procedure to find GCD of 86, 14, 40, 16?

You can find a detailed procedure to find GCD of 86, 14, 40, 16 on our page.

3. How to find GCD of 86, 14, 40, 16 on a calculator?

You can find the GCD of 86, 14, 40, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.