GCD of 52, 30, 33, 90 Calculator

Given Input numbers are 52, 30, 33, 90

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 33

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

1, 3, 11, 33

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

Greatest Common Divisior

We found the divisors of 52, 30, 33, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 30, 33, 90 is 1.

Therefore, GCD of numbers 52, 30, 33, 90 is 1

Given Input Data is 52, 30, 33, 90

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 33 is 3 x 11

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

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(52, 30) = 780

GCD(52, 30) = ( 52 x 30 ) / 780

GCD(52, 30) = 1560 / 780

GCD(52, 30) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

GCD of 52, 30, 33, 90 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 97, 21, 76
• GCD of 59, 49, 50, 28
• GCD of 96, 90, 53, 37
• GCD of 87, 75, 34, 51
• GCD of 89, 53, 34, 53

1. What is the GCD of 52, 30, 33, 90?

GCD of 52, 30, 33, 90 is 1

2. Where do I get the detailed procedure to find GCD of 52, 30, 33, 90?

You can find a detailed procedure to find GCD of 52, 30, 33, 90 on our page.

3. How to find GCD of 52, 30, 33, 90 on a calculator?

You can find the GCD of 52, 30, 33, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.