GCD of 68, 96, 86, 86 Calculator

Given Input numbers are 68, 96, 86, 86

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 86

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

1, 2, 43, 86

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 68, 96, 86, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 96, 86, 86 is 2.

Therefore, GCD of numbers 68, 96, 86, 86 is 2

Given Input Data is 68, 96, 86, 86

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 86 is 2 x 43

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(68, 96) = 1632

GCD(68, 96) = ( 68 x 96 ) / 1632

GCD(68, 96) = 6528 / 1632

GCD(68, 96) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

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 68, 96, 86, 86 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 26, 51, 73
• GCD of 56, 16, 69, 49
• GCD of 91, 51, 92, 88
• GCD of 77, 67, 99, 54
• GCD of 23, 17, 71, 75

1. What is the GCD of 68, 96, 86, 86?

GCD of 68, 96, 86, 86 is 2

2. Where do I get the detailed procedure to find GCD of 68, 96, 86, 86?

You can find a detailed procedure to find GCD of 68, 96, 86, 86 on our page.

3. How to find GCD of 68, 96, 86, 86 on a calculator?

You can find the GCD of 68, 96, 86, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.