GCD of 90, 20, 33, 91 Calculator

Given Input numbers are 90, 20, 33, 91

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Greatest Common Divisior

We found the divisors of 90, 20, 33, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 20, 33, 91 is 1.

Therefore, GCD of numbers 90, 20, 33, 91 is 1

Given Input Data is 90, 20, 33, 91

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 20 is 2 x 2 x 5

Prime Factorization of 33 is 3 x 11

Prime Factorization of 91 is 7 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(90, 20) = 180

GCD(90, 20) = ( 90 x 20 ) / 180

GCD(90, 20) = 1800 / 180

GCD(90, 20) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 33

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

LCM(10, 33) = 330

GCD(10, 33) = ( 10 x 33 ) / 330

GCD(10, 33) = 330 / 330

GCD(10, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

GCD of 90, 20, 33, 91 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 37, 29, 23
• GCD of 43, 16, 99, 78
• GCD of 64, 24, 80, 35
• GCD of 82, 25, 41, 38
• GCD of 93, 13, 47, 96

1. What is the GCD of 90, 20, 33, 91?

GCD of 90, 20, 33, 91 is 1

2. Where do I get the detailed procedure to find GCD of 90, 20, 33, 91?

You can find a detailed procedure to find GCD of 90, 20, 33, 91 on our page.

3. How to find GCD of 90, 20, 33, 91 on a calculator?

You can find the GCD of 90, 20, 33, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.