GCD of 33, 36, 67, 17 Calculator

Given Input numbers are 33, 36, 67, 17

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

Divisors of 33

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

1, 3, 11, 33

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 33, 36, 67, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 36, 67, 17 is 1.

Therefore, GCD of numbers 33, 36, 67, 17 is 1

Given Input Data is 33, 36, 67, 17

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 67 is 67

Prime Factorization of 17 is 17

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(33, 36) = 396

GCD(33, 36) = ( 33 x 36 ) / 396

GCD(33, 36) = 1188 / 396

GCD(33, 36) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 33, 36, 67, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 70, 50, 81
• GCD of 41, 47, 76, 95
• GCD of 86, 88, 46, 22
• GCD of 35, 86, 20, 51
• GCD of 41, 57, 45, 67

1. What is the GCD of 33, 36, 67, 17?

GCD of 33, 36, 67, 17 is 1

2. Where do I get the detailed procedure to find GCD of 33, 36, 67, 17?

You can find a detailed procedure to find GCD of 33, 36, 67, 17 on our page.

3. How to find GCD of 33, 36, 67, 17 on a calculator?

You can find the GCD of 33, 36, 67, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.