GCD of 86, 38, 76, 28 Calculator

Given Input numbers are 86, 38, 76, 28

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 86, 38, 76, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 38, 76, 28 is 2.

Therefore, GCD of numbers 86, 38, 76, 28 is 2

Given Input Data is 86, 38, 76, 28

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 38 is 2 x 19

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 28 is 2 x 2 x 7

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, 38) = 1634

GCD(86, 38) = ( 86 x 38 ) / 1634

GCD(86, 38) = 3268 / 1634

GCD(86, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

GCD of 86, 38, 76, 28 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 36, 14, 17
• GCD of 85, 52, 20, 51
• GCD of 81, 67, 67, 38
• GCD of 25, 62, 70, 27
• GCD of 71, 17, 97, 69

1. What is the GCD of 86, 38, 76, 28?

GCD of 86, 38, 76, 28 is 2

2. Where do I get the detailed procedure to find GCD of 86, 38, 76, 28?

You can find a detailed procedure to find GCD of 86, 38, 76, 28 on our page.

3. How to find GCD of 86, 38, 76, 28 on a calculator?

You can find the GCD of 86, 38, 76, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.