GCD of 90, 69, 81, 28 Calculator

Given Input numbers are 90, 69, 81, 28

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

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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 90, 69, 81, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 69, 81, 28 is 1.

Therefore, GCD of numbers 90, 69, 81, 28 is 1

Given Input Data is 90, 69, 81, 28

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

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 28 is 2 x 2 x 7

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(90, 69) = 2070

GCD(90, 69) = ( 90 x 69 ) / 2070

GCD(90, 69) = 6210 / 2070

GCD(90, 69) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

GCD of 90, 69, 81, 28 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 61, 99, 50
• GCD of 34, 12, 37, 46
• GCD of 57, 72, 14, 22
• GCD of 33, 60, 60, 62
• GCD of 14, 39, 46, 52

1. What is the GCD of 90, 69, 81, 28?

GCD of 90, 69, 81, 28 is 1

2. Where do I get the detailed procedure to find GCD of 90, 69, 81, 28?

You can find a detailed procedure to find GCD of 90, 69, 81, 28 on our page.

3. How to find GCD of 90, 69, 81, 28 on a calculator?

You can find the GCD of 90, 69, 81, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.