GCD of 90, 28, 10, 55 Calculator

Given Input numbers are 90, 28, 10, 55

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 28

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

1, 2, 4, 7, 14, 28

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 90, 28, 10, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 28, 10, 55 is 1.

Therefore, GCD of numbers 90, 28, 10, 55 is 1

Given Input Data is 90, 28, 10, 55

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 28 is 2 x 2 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 55 is 5 x 11

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, 28) = 1260

GCD(90, 28) = ( 90 x 28 ) / 1260

GCD(90, 28) = 2520 / 1260

GCD(90, 28) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

GCD of 90, 28, 10, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 41, 89, 39
• GCD of 85, 56, 67, 81
• GCD of 25, 68, 35, 71
• GCD of 54, 88, 96, 53
• GCD of 27, 86, 75, 59

1. What is the GCD of 90, 28, 10, 55?

GCD of 90, 28, 10, 55 is 1

2. Where do I get the detailed procedure to find GCD of 90, 28, 10, 55?

You can find a detailed procedure to find GCD of 90, 28, 10, 55 on our page.

3. How to find GCD of 90, 28, 10, 55 on a calculator?

You can find the GCD of 90, 28, 10, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.