GCD of 86, 28, 90, 39 Calculator

Given Input numbers are 86, 28, 90, 39

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 28

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

1, 2, 4, 7, 14, 28

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 86, 28, 90, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 28, 90, 39 is 1.

Therefore, GCD of numbers 86, 28, 90, 39 is 1

Given Input Data is 86, 28, 90, 39

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(86, 28) = 1204

GCD(86, 28) = ( 86 x 28 ) / 1204

GCD(86, 28) = 2408 / 1204

GCD(86, 28) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

GCD of 86, 28, 90, 39 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 73, 13, 29
• GCD of 51, 34, 69, 55
• GCD of 96, 56, 61, 43
• GCD of 33, 82, 66, 23
• GCD of 27, 73, 27, 26

1. What is the GCD of 86, 28, 90, 39?

GCD of 86, 28, 90, 39 is 1

2. Where do I get the detailed procedure to find GCD of 86, 28, 90, 39?

You can find a detailed procedure to find GCD of 86, 28, 90, 39 on our page.

3. How to find GCD of 86, 28, 90, 39 on a calculator?

You can find the GCD of 86, 28, 90, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.